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Finding the Fourth Proportional to 542.71, 813.88 and 234.37

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Solution

The fourth proportional to 542.71, 813.88 and 234.37 is: 351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.71 : 813.88 = 234.37 : x
  2. Step 2: Convert to fraction form
    542.71/813.88 = 234.37/x
  3. Step 3: Cross multiply
    542.71x = 813.88 × 234.37
  4. Step 4: Simplify right side
    542.71x = 190,749.06
  5. Step 5: Solve for x
    x = 190,749.06/542.71
  6. Step 6: Final answer
    x = 351.48

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Similar ratio
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1.5x scale

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.