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Finding the Fourth Proportional to 259.64, 386.88 and 230.92

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Solution

The fourth proportional to 259.64, 386.88 and 230.92 is: 344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.64 : 386.88 = 230.92 : x
  2. Step 2: Convert to fraction form
    259.64/386.88 = 230.92/x
  3. Step 3: Cross multiply
    259.64x = 386.88 × 230.92
  4. Step 4: Simplify right side
    259.64x = 89,336.50
  5. Step 5: Solve for x
    x = 89,336.50/259.64
  6. Step 6: Final answer
    x = 344.08

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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.