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Finding the Fourth Proportional to 207.32, 286 and 128.56

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Solution

The fourth proportional to 207.32, 286 and 128.56 is: 177.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.32 : 286 = 128.56 : x
  2. Step 2: Convert to fraction form
    207.32/286 = 128.56/x
  3. Step 3: Cross multiply
    207.32x = 286 × 128.56
  4. Step 4: Simplify right side
    207.32x = 36,768.16
  5. Step 5: Solve for x
    x = 36,768.16/207.32
  6. Step 6: Final answer
    x = 177.35

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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.