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Finding the Fourth Proportional to 542.43, 813.64 and 152.43

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Solution

The fourth proportional to 542.43, 813.64 and 152.43 is: 228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.43 : 813.64 = 152.43 : x
  2. Step 2: Convert to fraction form
    542.43/813.64 = 152.43/x
  3. Step 3: Cross multiply
    542.43x = 813.64 × 152.43
  4. Step 4: Simplify right side
    542.43x = 124,020.35
  5. Step 5: Solve for x
    x = 124,020.35/542.43
  6. Step 6: Final answer
    x = 228.64

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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.