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Finding the Fourth Proportional to 382.85, 527.18 and 347.66

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Solution

The fourth proportional to 382.85, 527.18 and 347.66 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.85 : 527.18 = 347.66 : x
  2. Step 2: Convert to fraction form
    382.85/527.18 = 347.66/x
  3. Step 3: Cross multiply
    382.85x = 527.18 × 347.66
  4. Step 4: Simplify right side
    382.85x = 183,275.02
  5. Step 5: Solve for x
    x = 183,275.02/382.85
  6. Step 6: Final answer
    x = 478.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.