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Finding the Fourth Proportional to 231.88, 345.90 and 207.58

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Solution

The fourth proportional to 231.88, 345.90 and 207.58 is: 309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.88 : 345.90 = 207.58 : x
  2. Step 2: Convert to fraction form
    231.88/345.90 = 207.58/x
  3. Step 3: Cross multiply
    231.88x = 345.90 × 207.58
  4. Step 4: Simplify right side
    231.88x = 71,801.92
  5. Step 5: Solve for x
    x = 71,801.92/231.88
  6. Step 6: Final answer
    x = 309.65

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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.