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Finding the Fourth Proportional to 415.80, 626.40 and 380.16

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Solution

The fourth proportional to 415.80, 626.40 and 380.16 is: 572.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.80 : 626.40 = 380.16 : x
  2. Step 2: Convert to fraction form
    415.80/626.40 = 380.16/x
  3. Step 3: Cross multiply
    415.80x = 626.40 × 380.16
  4. Step 4: Simplify right side
    415.80x = 238,132.22
  5. Step 5: Solve for x
    x = 238,132.22/415.80
  6. Step 6: Final answer
    x = 572.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.