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Finding the Fourth Proportional to 415.10, 621.03 and 278.21

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Solution

The fourth proportional to 415.10, 621.03 and 278.21 is: 416.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.10 : 621.03 = 278.21 : x
  2. Step 2: Convert to fraction form
    415.10/621.03 = 278.21/x
  3. Step 3: Cross multiply
    415.10x = 621.03 × 278.21
  4. Step 4: Simplify right side
    415.10x = 172,776.76
  5. Step 5: Solve for x
    x = 172,776.76/415.10
  6. Step 6: Final answer
    x = 416.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.