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Finding the Fourth Proportional to 502.01, 752.02 and 306.45

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Solution

The fourth proportional to 502.01, 752.02 and 306.45 is: 459.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.01 : 752.02 = 306.45 : x
  2. Step 2: Convert to fraction form
    502.01/752.02 = 306.45/x
  3. Step 3: Cross multiply
    502.01x = 752.02 × 306.45
  4. Step 4: Simplify right side
    502.01x = 230,455.76
  5. Step 5: Solve for x
    x = 230,455.76/502.01
  6. Step 6: Final answer
    x = 459.06

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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.