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Finding the Fourth Proportional to 410.78, 615.02 and 225.01

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Solution

The fourth proportional to 410.78, 615.02 and 225.01 is: 336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.78 : 615.02 = 225.01 : x
  2. Step 2: Convert to fraction form
    410.78/615.02 = 225.01/x
  3. Step 3: Cross multiply
    410.78x = 615.02 × 225.01
  4. Step 4: Simplify right side
    410.78x = 138,384.68
  5. Step 5: Solve for x
    x = 138,384.68/410.78
  6. Step 6: Final answer
    x = 336.88

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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.