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Finding the Fourth Proportional to 267.56, 399.08 and 259.46

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Solution

The fourth proportional to 267.56, 399.08 and 259.46 is: 387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.56 : 399.08 = 259.46 : x
  2. Step 2: Convert to fraction form
    267.56/399.08 = 259.46/x
  3. Step 3: Cross multiply
    267.56x = 399.08 × 259.46
  4. Step 4: Simplify right side
    267.56x = 103,545.30
  5. Step 5: Solve for x
    x = 103,545.30/267.56
  6. Step 6: Final answer
    x = 387.00

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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.