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Finding the Fourth Proportional to 542.44, 748.20 and 346.22

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Solution

The fourth proportional to 542.44, 748.20 and 346.22 is: 477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.44 : 748.20 = 346.22 : x
  2. Step 2: Convert to fraction form
    542.44/748.20 = 346.22/x
  3. Step 3: Cross multiply
    542.44x = 748.20 × 346.22
  4. Step 4: Simplify right side
    542.44x = 259,041.80
  5. Step 5: Solve for x
    x = 259,041.80/542.44
  6. Step 6: Final answer
    x = 477.55

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.