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Finding the Fourth Proportional to 415.64, 621.84 and 278.03

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Solution

The fourth proportional to 415.64, 621.84 and 278.03 is: 415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.64 : 621.84 = 278.03 : x
  2. Step 2: Convert to fraction form
    415.64/621.84 = 278.03/x
  3. Step 3: Cross multiply
    415.64x = 621.84 × 278.03
  4. Step 4: Simplify right side
    415.64x = 172,890.18
  5. Step 5: Solve for x
    x = 172,890.18/415.64
  6. Step 6: Final answer
    x = 415.96

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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.