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Finding the Fourth Proportional to 502.59, 754.05 and 210.12

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Solution

The fourth proportional to 502.59, 754.05 and 210.12 is: 315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.59 : 754.05 = 210.12 : x
  2. Step 2: Convert to fraction form
    502.59/754.05 = 210.12/x
  3. Step 3: Cross multiply
    502.59x = 754.05 × 210.12
  4. Step 4: Simplify right side
    502.59x = 158,440.99
  5. Step 5: Solve for x
    x = 158,440.99/502.59
  6. Step 6: Final answer
    x = 315.25

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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.