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Finding the Fourth Proportional to 259.79, 387.95 and 229.14

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Solution

The fourth proportional to 259.79, 387.95 and 229.14 is: 342.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.79 : 387.95 = 229.14 : x
  2. Step 2: Convert to fraction form
    259.79/387.95 = 229.14/x
  3. Step 3: Cross multiply
    259.79x = 387.95 × 229.14
  4. Step 4: Simplify right side
    259.79x = 88,893.72
  5. Step 5: Solve for x
    x = 88,893.72/259.79
  6. Step 6: Final answer
    x = 342.18

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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.