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Finding the Fourth Proportional to 158.13, 218.39 and 123.58

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Solution

The fourth proportional to 158.13, 218.39 and 123.58 is: 170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.13 : 218.39 = 123.58 : x
  2. Step 2: Convert to fraction form
    158.13/218.39 = 123.58/x
  3. Step 3: Cross multiply
    158.13x = 218.39 × 123.58
  4. Step 4: Simplify right side
    158.13x = 26,988.64
  5. Step 5: Solve for x
    x = 26,988.64/158.13
  6. Step 6: Final answer
    x = 170.67

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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.