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Finding the Fourth Proportional to 542.31, 748.38 and 293.63

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Solution

The fourth proportional to 542.31, 748.38 and 293.63 is: 405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.31 : 748.38 = 293.63 : x
  2. Step 2: Convert to fraction form
    542.31/748.38 = 293.63/x
  3. Step 3: Cross multiply
    542.31x = 748.38 × 293.63
  4. Step 4: Simplify right side
    542.31x = 219,742.53
  5. Step 5: Solve for x
    x = 219,742.53/542.31
  6. Step 6: Final answer
    x = 405.20

Related Problems

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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.