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Finding the Fourth Proportional to 542.36, 747.42 and 386.84

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Solution

The fourth proportional to 542.36, 747.42 and 386.84 is: 533.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.36 : 747.42 = 386.84 : x
  2. Step 2: Convert to fraction form
    542.36/747.42 = 386.84/x
  3. Step 3: Cross multiply
    542.36x = 747.42 × 386.84
  4. Step 4: Simplify right side
    542.36x = 289,131.95
  5. Step 5: Solve for x
    x = 289,131.95/542.36
  6. Step 6: Final answer
    x = 533.10

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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.