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Finding the Fourth Proportional to 478.60, 660.18 and 338.50

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Solution

The fourth proportional to 478.60, 660.18 and 338.50 is: 466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.60 : 660.18 = 338.50 : x
  2. Step 2: Convert to fraction form
    478.60/660.18 = 338.50/x
  3. Step 3: Cross multiply
    478.60x = 660.18 × 338.50
  4. Step 4: Simplify right side
    478.60x = 223,470.93
  5. Step 5: Solve for x
    x = 223,470.93/478.60
  6. Step 6: Final answer
    x = 466.93

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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.