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Finding the Fourth Proportional to 267.83, 399.12 and 259.13

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Solution

The fourth proportional to 267.83, 399.12 and 259.13 is: 386.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.83 : 399.12 = 259.13 : x
  2. Step 2: Convert to fraction form
    267.83/399.12 = 259.13/x
  3. Step 3: Cross multiply
    267.83x = 399.12 × 259.13
  4. Step 4: Simplify right side
    267.83x = 103,423.97
  5. Step 5: Solve for x
    x = 103,423.97/267.83
  6. Step 6: Final answer
    x = 386.16

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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.