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Finding the Fourth Proportional to 562, 843 and 177.25

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Solution

The fourth proportional to 562, 843 and 177.25 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    562 : 843 = 177.25 : x
  2. Step 2: Convert to fraction form
    562/843 = 177.25/x
  3. Step 3: Cross multiply
    562x = 843 × 177.25
  4. Step 4: Simplify right side
    562x = 149,421.75
  5. Step 5: Solve for x
    x = 149,421.75/562
  6. Step 6: Final answer
    x = 265.88

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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.