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Finding the Fourth Proportional to 281.53, 419.45 and 267.76

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Solution

The fourth proportional to 281.53, 419.45 and 267.76 is: 398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.53 : 419.45 = 267.76 : x
  2. Step 2: Convert to fraction form
    281.53/419.45 = 267.76/x
  3. Step 3: Cross multiply
    281.53x = 419.45 × 267.76
  4. Step 4: Simplify right side
    281.53x = 112,311.93
  5. Step 5: Solve for x
    x = 112,311.93/281.53
  6. Step 6: Final answer
    x = 398.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.