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Finding the Fourth Proportional to 387.39, 580.06 and 265.89

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Solution

The fourth proportional to 387.39, 580.06 and 265.89 is: 398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.39 : 580.06 = 265.89 : x
  2. Step 2: Convert to fraction form
    387.39/580.06 = 265.89/x
  3. Step 3: Cross multiply
    387.39x = 580.06 × 265.89
  4. Step 4: Simplify right side
    387.39x = 154,232.15
  5. Step 5: Solve for x
    x = 154,232.15/387.39
  6. Step 6: Final answer
    x = 398.13

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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.