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Finding the Fourth Proportional to 207.46, 286.05 and 133.78

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Solution

The fourth proportional to 207.46, 286.05 and 133.78 is: 184.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.46 : 286.05 = 133.78 : x
  2. Step 2: Convert to fraction form
    207.46/286.05 = 133.78/x
  3. Step 3: Cross multiply
    207.46x = 286.05 × 133.78
  4. Step 4: Simplify right side
    207.46x = 38,267.77
  5. Step 5: Solve for x
    x = 38,267.77/207.46
  6. Step 6: Final answer
    x = 184.46

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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.