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Finding the Fourth Proportional to 207.14, 285.80 and 128.46

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Solution

The fourth proportional to 207.14, 285.80 and 128.46 is: 177.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.14 : 285.80 = 128.46 : x
  2. Step 2: Convert to fraction form
    207.14/285.80 = 128.46/x
  3. Step 3: Cross multiply
    207.14x = 285.80 × 128.46
  4. Step 4: Simplify right side
    207.14x = 36,713.87
  5. Step 5: Solve for x
    x = 36,713.87/207.14
  6. Step 6: Final answer
    x = 177.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.