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Finding the Fourth Proportional to 499.12, 748.66 and 210.35

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Solution

The fourth proportional to 499.12, 748.66 and 210.35 is: 315.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.12 : 748.66 = 210.35 : x
  2. Step 2: Convert to fraction form
    499.12/748.66 = 210.35/x
  3. Step 3: Cross multiply
    499.12x = 748.66 × 210.35
  4. Step 4: Simplify right side
    499.12x = 157,480.63
  5. Step 5: Solve for x
    x = 157,480.63/499.12
  6. Step 6: Final answer
    x = 315.52

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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.