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Finding the Fourth Proportional to 502.64, 753.97 and 228.54

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Solution

The fourth proportional to 502.64, 753.97 and 228.54 is: 342.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.64 : 753.97 = 228.54 : x
  2. Step 2: Convert to fraction form
    502.64/753.97 = 228.54/x
  3. Step 3: Cross multiply
    502.64x = 753.97 × 228.54
  4. Step 4: Simplify right side
    502.64x = 172,312.30
  5. Step 5: Solve for x
    x = 172,312.30/502.64
  6. Step 6: Final answer
    x = 342.81

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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.