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Finding the Fourth Proportional to 521.90, 782.88 and 137.16

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Solution

The fourth proportional to 521.90, 782.88 and 137.16 is: 205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.90 : 782.88 = 137.16 : x
  2. Step 2: Convert to fraction form
    521.90/782.88 = 137.16/x
  3. Step 3: Cross multiply
    521.90x = 782.88 × 137.16
  4. Step 4: Simplify right side
    521.90x = 107,379.82
  5. Step 5: Solve for x
    x = 107,379.82/521.90
  6. Step 6: Final answer
    x = 205.75

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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.