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Finding the Fourth Proportional to 478.23, 658.74 and 338.10

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Solution

The fourth proportional to 478.23, 658.74 and 338.10 is: 465.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.23 : 658.74 = 338.10 : x
  2. Step 2: Convert to fraction form
    478.23/658.74 = 338.10/x
  3. Step 3: Cross multiply
    478.23x = 658.74 × 338.10
  4. Step 4: Simplify right side
    478.23x = 222,719.99
  5. Step 5: Solve for x
    x = 222,719.99/478.23
  6. Step 6: Final answer
    x = 465.72

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