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Finding the Fourth Proportional to 259.34, 386.70 and 231.98

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Solution

The fourth proportional to 259.34, 386.70 and 231.98 is: 345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.34 : 386.70 = 231.98 : x
  2. Step 2: Convert to fraction form
    259.34/386.70 = 231.98/x
  3. Step 3: Cross multiply
    259.34x = 386.70 × 231.98
  4. Step 4: Simplify right side
    259.34x = 89,706.67
  5. Step 5: Solve for x
    x = 89,706.67/259.34
  6. Step 6: Final answer
    x = 345.90

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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.