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Finding the Fourth Proportional to 387.83, 534.46 and 277.11

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Solution

The fourth proportional to 387.83, 534.46 and 277.11 is: 381.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.83 : 534.46 = 277.11 : x
  2. Step 2: Convert to fraction form
    387.83/534.46 = 277.11/x
  3. Step 3: Cross multiply
    387.83x = 534.46 × 277.11
  4. Step 4: Simplify right side
    387.83x = 148,104.21
  5. Step 5: Solve for x
    x = 148,104.21/387.83
  6. Step 6: Final answer
    x = 381.88

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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.