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Finding the Fourth Proportional to 387.18, 579.48 and 277.20

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Solution

The fourth proportional to 387.18, 579.48 and 277.20 is: 414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.18 : 579.48 = 277.20 : x
  2. Step 2: Convert to fraction form
    387.18/579.48 = 277.20/x
  3. Step 3: Cross multiply
    387.18x = 579.48 × 277.20
  4. Step 4: Simplify right side
    387.18x = 160,631.86
  5. Step 5: Solve for x
    x = 160,631.86/387.18
  6. Step 6: Final answer
    x = 414.88

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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.