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Finding the Fourth Proportional to 337.68, 508.68 and 287.52

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Solution

The fourth proportional to 337.68, 508.68 and 287.52 is: 433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.68 : 508.68 = 287.52 : x
  2. Step 2: Convert to fraction form
    337.68/508.68 = 287.52/x
  3. Step 3: Cross multiply
    337.68x = 508.68 × 287.52
  4. Step 4: Simplify right side
    337.68x = 146,255.67
  5. Step 5: Solve for x
    x = 146,255.67/337.68
  6. Step 6: Final answer
    x = 433.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.