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Finding the Fourth Proportional to 502.33, 753.40 and 137.07

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Solution

The fourth proportional to 502.33, 753.40 and 137.07 is: 205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.33 : 753.40 = 137.07 : x
  2. Step 2: Convert to fraction form
    502.33/753.40 = 137.07/x
  3. Step 3: Cross multiply
    502.33x = 753.40 × 137.07
  4. Step 4: Simplify right side
    502.33x = 103,268.54
  5. Step 5: Solve for x
    x = 103,268.54/502.33
  6. Step 6: Final answer
    x = 205.58

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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.