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Finding the Fourth Proportional to 402.72, 555.76 and 225.66

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Solution

The fourth proportional to 402.72, 555.76 and 225.66 is: 311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.72 : 555.76 = 225.66 : x
  2. Step 2: Convert to fraction form
    402.72/555.76 = 225.66/x
  3. Step 3: Cross multiply
    402.72x = 555.76 × 225.66
  4. Step 4: Simplify right side
    402.72x = 125,412.80
  5. Step 5: Solve for x
    x = 125,412.80/402.72
  6. Step 6: Final answer
    x = 311.41

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Why These Related Problems?

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