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Finding the Fourth Proportional to 735.10, 1,102.70 and 247.98

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Solution

The fourth proportional to 735.10, 1,102.70 and 247.98 is: 371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.10 : 1,102.70 = 247.98 : x
  2. Step 2: Convert to fraction form
    735.10/1,102.70 = 247.98/x
  3. Step 3: Cross multiply
    735.10x = 1,102.70 × 247.98
  4. Step 4: Simplify right side
    735.10x = 273,447.55
  5. Step 5: Solve for x
    x = 273,447.55/735.10
  6. Step 6: Final answer
    x = 371.99

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.