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Finding the Fourth Proportional to 574.23, 861.33 and 141.39

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Solution

The fourth proportional to 574.23, 861.33 and 141.39 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.23 : 861.33 = 141.39 : x
  2. Step 2: Convert to fraction form
    574.23/861.33 = 141.39/x
  3. Step 3: Cross multiply
    574.23x = 861.33 × 141.39
  4. Step 4: Simplify right side
    574.23x = 121,783.45
  5. Step 5: Solve for x
    x = 121,783.45/574.23
  6. Step 6: Final answer
    x = 212.08

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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.