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Finding the Fourth Proportional to 562.18, 842.70 and 215.42

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Solution

The fourth proportional to 562.18, 842.70 and 215.42 is: 322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.18 : 842.70 = 215.42 : x
  2. Step 2: Convert to fraction form
    562.18/842.70 = 215.42/x
  3. Step 3: Cross multiply
    562.18x = 842.70 × 215.42
  4. Step 4: Simplify right side
    562.18x = 181,534.43
  5. Step 5: Solve for x
    x = 181,534.43/562.18
  6. Step 6: Final answer
    x = 322.91

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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.