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Finding the Fourth Proportional to 542.56, 814.08 and 286.08

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Solution

The fourth proportional to 542.56, 814.08 and 286.08 is: 429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.56 : 814.08 = 286.08 : x
  2. Step 2: Convert to fraction form
    542.56/814.08 = 286.08/x
  3. Step 3: Cross multiply
    542.56x = 814.08 × 286.08
  4. Step 4: Simplify right side
    542.56x = 232,892.01
  5. Step 5: Solve for x
    x = 232,892.01/542.56
  6. Step 6: Final answer
    x = 429.25

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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.