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Finding the Fourth Proportional to 399.76, 551.69 and 225.10

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Solution

The fourth proportional to 399.76, 551.69 and 225.10 is: 310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.76 : 551.69 = 225.10 : x
  2. Step 2: Convert to fraction form
    399.76/551.69 = 225.10/x
  3. Step 3: Cross multiply
    399.76x = 551.69 × 225.10
  4. Step 4: Simplify right side
    399.76x = 124,185.42
  5. Step 5: Solve for x
    x = 124,185.42/399.76
  6. Step 6: Final answer
    x = 310.65

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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.