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Finding the Fourth Proportional to 502.03, 752.77 and 155.27

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Solution

The fourth proportional to 502.03, 752.77 and 155.27 is: 232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.03 : 752.77 = 155.27 : x
  2. Step 2: Convert to fraction form
    502.03/752.77 = 155.27/x
  3. Step 3: Cross multiply
    502.03x = 752.77 × 155.27
  4. Step 4: Simplify right side
    502.03x = 116,880.33
  5. Step 5: Solve for x
    x = 116,880.33/502.03
  6. Step 6: Final answer
    x = 232.82

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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.