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Finding the Fourth Proportional to 502.10, 753.17 and 238.49

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Solution

The fourth proportional to 502.10, 753.17 and 238.49 is: 357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.10 : 753.17 = 238.49 : x
  2. Step 2: Convert to fraction form
    502.10/753.17 = 238.49/x
  3. Step 3: Cross multiply
    502.10x = 753.17 × 238.49
  4. Step 4: Simplify right side
    502.10x = 179,623.51
  5. Step 5: Solve for x
    x = 179,623.51/502.10
  6. Step 6: Final answer
    x = 357.74

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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.