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Finding the Fourth Proportional to 259.12, 386.65 and 231.88

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Solution

The fourth proportional to 259.12, 386.65 and 231.88 is: 346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.12 : 386.65 = 231.88 : x
  2. Step 2: Convert to fraction form
    259.12/386.65 = 231.88/x
  3. Step 3: Cross multiply
    259.12x = 386.65 × 231.88
  4. Step 4: Simplify right side
    259.12x = 89,656.40
  5. Step 5: Solve for x
    x = 89,656.40/259.12
  6. Step 6: Final answer
    x = 346.00

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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.