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Finding the Fourth Proportional to 521.48, 782.24 and 156.30

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Solution

The fourth proportional to 521.48, 782.24 and 156.30 is: 234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.48 : 782.24 = 156.30 : x
  2. Step 2: Convert to fraction form
    521.48/782.24 = 156.30/x
  3. Step 3: Cross multiply
    521.48x = 782.24 × 156.30
  4. Step 4: Simplify right side
    521.48x = 122,264.11
  5. Step 5: Solve for x
    x = 122,264.11/521.48
  6. Step 6: Final answer
    x = 234.46

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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.