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Finding the Fourth Proportional to 542, 813.14 and 157.26

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Solution

The fourth proportional to 542, 813.14 and 157.26 is: 235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542 : 813.14 = 157.26 : x
  2. Step 2: Convert to fraction form
    542/813.14 = 157.26/x
  3. Step 3: Cross multiply
    542x = 813.14 × 157.26
  4. Step 4: Simplify right side
    542x = 127,874.40
  5. Step 5: Solve for x
    x = 127,874.40/542
  6. Step 6: Final answer
    x = 235.93

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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.