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Finding the Fourth Proportional to 158.78, 218.79 and 117.33

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Solution

The fourth proportional to 158.78, 218.79 and 117.33 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.78 : 218.79 = 117.33 : x
  2. Step 2: Convert to fraction form
    158.78/218.79 = 117.33/x
  3. Step 3: Cross multiply
    158.78x = 218.79 × 117.33
  4. Step 4: Simplify right side
    158.78x = 25,670.63
  5. Step 5: Solve for x
    x = 25,670.63/158.78
  6. Step 6: Final answer
    x = 161.68

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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.