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Finding the Fourth Proportional to 354.28, 529.19 and 237.76

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Solution

The fourth proportional to 354.28, 529.19 and 237.76 is: 355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.28 : 529.19 = 237.76 : x
  2. Step 2: Convert to fraction form
    354.28/529.19 = 237.76/x
  3. Step 3: Cross multiply
    354.28x = 529.19 × 237.76
  4. Step 4: Simplify right side
    354.28x = 125,820.21
  5. Step 5: Solve for x
    x = 125,820.21/354.28
  6. Step 6: Final answer
    x = 355.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.