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Finding the Fourth Proportional to 158.33, 218.75 and 135.25

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Solution

The fourth proportional to 158.33, 218.75 and 135.25 is: 186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.33 : 218.75 = 135.25 : x
  2. Step 2: Convert to fraction form
    158.33/218.75 = 135.25/x
  3. Step 3: Cross multiply
    158.33x = 218.75 × 135.25
  4. Step 4: Simplify right side
    158.33x = 29,584.71
  5. Step 5: Solve for x
    x = 29,584.71/158.33
  6. Step 6: Final answer
    x = 186.85

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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.