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Finding the Fourth Proportional to 735.91, 1,103.86 and 242.30

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Solution

The fourth proportional to 735.91, 1,103.86 and 242.30 is: 363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.91 : 1,103.86 = 242.30 : x
  2. Step 2: Convert to fraction form
    735.91/1,103.86 = 242.30/x
  3. Step 3: Cross multiply
    735.91x = 1,103.86 × 242.30
  4. Step 4: Simplify right side
    735.91x = 267,462.81
  5. Step 5: Solve for x
    x = 267,462.81/735.91
  6. Step 6: Final answer
    x = 363.45

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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.