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Finding the Fourth Proportional to 251.40, 345.31 and 207.64

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Solution

The fourth proportional to 251.40, 345.31 and 207.64 is: 285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.40 : 345.31 = 207.64 : x
  2. Step 2: Convert to fraction form
    251.40/345.31 = 207.64/x
  3. Step 3: Cross multiply
    251.40x = 345.31 × 207.64
  4. Step 4: Simplify right side
    251.40x = 71,700.17
  5. Step 5: Solve for x
    x = 71,700.17/251.40
  6. Step 6: Final answer
    x = 285.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.