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Finding the Fourth Proportional to 542.26, 812.96 and 176.82

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Solution

The fourth proportional to 542.26, 812.96 and 176.82 is: 265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.26 : 812.96 = 176.82 : x
  2. Step 2: Convert to fraction form
    542.26/812.96 = 176.82/x
  3. Step 3: Cross multiply
    542.26x = 812.96 × 176.82
  4. Step 4: Simplify right side
    542.26x = 143,747.59
  5. Step 5: Solve for x
    x = 143,747.59/542.26
  6. Step 6: Final answer
    x = 265.09

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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.