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Finding the Fourth Proportional to 387.17, 581.46 and 347.55

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Solution

The fourth proportional to 387.17, 581.46 and 347.55 is: 521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.17 : 581.46 = 347.55 : x
  2. Step 2: Convert to fraction form
    387.17/581.46 = 347.55/x
  3. Step 3: Cross multiply
    387.17x = 581.46 × 347.55
  4. Step 4: Simplify right side
    387.17x = 202,086.42
  5. Step 5: Solve for x
    x = 202,086.42/387.17
  6. Step 6: Final answer
    x = 521.96

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