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Finding the Fourth Proportional to 387.10, 581.04 and 343.46

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Solution

The fourth proportional to 387.10, 581.04 and 343.46 is: 515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.10 : 581.04 = 343.46 : x
  2. Step 2: Convert to fraction form
    387.10/581.04 = 343.46/x
  3. Step 3: Cross multiply
    387.10x = 581.04 × 343.46
  4. Step 4: Simplify right side
    387.10x = 199,562.28
  5. Step 5: Solve for x
    x = 199,562.28/387.10
  6. Step 6: Final answer
    x = 515.53

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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.