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Finding the Fourth Proportional to 259.10, 386.64 and 231.75

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Solution

The fourth proportional to 259.10, 386.64 and 231.75 is: 345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.10 : 386.64 = 231.75 : x
  2. Step 2: Convert to fraction form
    259.10/386.64 = 231.75/x
  3. Step 3: Cross multiply
    259.10x = 386.64 × 231.75
  4. Step 4: Simplify right side
    259.10x = 89,603.82
  5. Step 5: Solve for x
    x = 89,603.82/259.10
  6. Step 6: Final answer
    x = 345.83

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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.