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Finding the Fourth Proportional to 393.93, 542.58 and 288.75

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Solution

The fourth proportional to 393.93, 542.58 and 288.75 is: 397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.93 : 542.58 = 288.75 : x
  2. Step 2: Convert to fraction form
    393.93/542.58 = 288.75/x
  3. Step 3: Cross multiply
    393.93x = 542.58 × 288.75
  4. Step 4: Simplify right side
    393.93x = 156,669.98
  5. Step 5: Solve for x
    x = 156,669.98/393.93
  6. Step 6: Final answer
    x = 397.71

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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.