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Finding the Fourth Proportional to 521.30, 781.92 and 290.32

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Solution

The fourth proportional to 521.30, 781.92 and 290.32 is: 435.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.30 : 781.92 = 290.32 : x
  2. Step 2: Convert to fraction form
    521.30/781.92 = 290.32/x
  3. Step 3: Cross multiply
    521.30x = 781.92 × 290.32
  4. Step 4: Simplify right side
    521.30x = 227,005.06
  5. Step 5: Solve for x
    x = 227,005.06/521.30
  6. Step 6: Final answer
    x = 435.46

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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.