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Finding the Fourth Proportional to 521.26, 782.04 and 156.10

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Solution

The fourth proportional to 521.26, 782.04 and 156.10 is: 234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.26 : 782.04 = 156.10 : x
  2. Step 2: Convert to fraction form
    521.26/782.04 = 156.10/x
  3. Step 3: Cross multiply
    521.26x = 782.04 × 156.10
  4. Step 4: Simplify right side
    521.26x = 122,076.44
  5. Step 5: Solve for x
    x = 122,076.44/521.26
  6. Step 6: Final answer
    x = 234.19

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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.