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Finding the Fourth Proportional to 542.51, 813.93 and 177.56

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Solution

The fourth proportional to 542.51, 813.93 and 177.56 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.51 : 813.93 = 177.56 : x
  2. Step 2: Convert to fraction form
    542.51/813.93 = 177.56/x
  3. Step 3: Cross multiply
    542.51x = 813.93 × 177.56
  4. Step 4: Simplify right side
    542.51x = 144,517.34
  5. Step 5: Solve for x
    x = 144,517.34/542.51
  6. Step 6: Final answer
    x = 266.39

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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.