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Finding the Fourth Proportional to 387.95, 534.93 and 282.85

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Solution

The fourth proportional to 387.95, 534.93 and 282.85 is: 390.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.95 : 534.93 = 282.85 : x
  2. Step 2: Convert to fraction form
    387.95/534.93 = 282.85/x
  3. Step 3: Cross multiply
    387.95x = 534.93 × 282.85
  4. Step 4: Simplify right side
    387.95x = 151,306.15
  5. Step 5: Solve for x
    x = 151,306.15/387.95
  6. Step 6: Final answer
    x = 390.02

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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.