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Finding the Fourth Proportional to 387.79, 581.79 and 113.88

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Solution

The fourth proportional to 387.79, 581.79 and 113.88 is: 170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.79 : 581.79 = 113.88 : x
  2. Step 2: Convert to fraction form
    387.79/581.79 = 113.88/x
  3. Step 3: Cross multiply
    387.79x = 581.79 × 113.88
  4. Step 4: Simplify right side
    387.79x = 66,254.25
  5. Step 5: Solve for x
    x = 66,254.25/387.79
  6. Step 6: Final answer
    x = 170.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.