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Finding the Fourth Proportional to 267.81, 399.45 and 259.71

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Solution

The fourth proportional to 267.81, 399.45 and 259.71 is: 387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.81 : 399.45 = 259.71 : x
  2. Step 2: Convert to fraction form
    267.81/399.45 = 259.71/x
  3. Step 3: Cross multiply
    267.81x = 399.45 × 259.71
  4. Step 4: Simplify right side
    267.81x = 103,741.16
  5. Step 5: Solve for x
    x = 103,741.16/267.81
  6. Step 6: Final answer
    x = 387.37

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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.