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Finding the Fourth Proportional to 402.77, 555.81 and 225.73

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Solution

The fourth proportional to 402.77, 555.81 and 225.73 is: 311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.77 : 555.81 = 225.73 : x
  2. Step 2: Convert to fraction form
    402.77/555.81 = 225.73/x
  3. Step 3: Cross multiply
    402.77x = 555.81 × 225.73
  4. Step 4: Simplify right side
    402.77x = 125,462.99
  5. Step 5: Solve for x
    x = 125,462.99/402.77
  6. Step 6: Final answer
    x = 311.50

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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.