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Finding the Fourth Proportional to 391.50, 583.80 and 382.18

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Solution

The fourth proportional to 391.50, 583.80 and 382.18 is: 569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.50 : 583.80 = 382.18 : x
  2. Step 2: Convert to fraction form
    391.50/583.80 = 382.18/x
  3. Step 3: Cross multiply
    391.50x = 583.80 × 382.18
  4. Step 4: Simplify right side
    391.50x = 223,116.68
  5. Step 5: Solve for x
    x = 223,116.68/391.50
  6. Step 6: Final answer
    x = 569.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.