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Finding the Fourth Proportional to 521.30, 781.56 and 247.07

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Solution

The fourth proportional to 521.30, 781.56 and 247.07 is: 370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.30 : 781.56 = 247.07 : x
  2. Step 2: Convert to fraction form
    521.30/781.56 = 247.07/x
  3. Step 3: Cross multiply
    521.30x = 781.56 × 247.07
  4. Step 4: Simplify right side
    521.30x = 193,100.03
  5. Step 5: Solve for x
    x = 193,100.03/521.30
  6. Step 6: Final answer
    x = 370.42

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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.