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Finding the Fourth Proportional to 158.23, 218.46 and 147.34

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Solution

The fourth proportional to 158.23, 218.46 and 147.34 is: 203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.23 : 218.46 = 147.34 : x
  2. Step 2: Convert to fraction form
    158.23/218.46 = 147.34/x
  3. Step 3: Cross multiply
    158.23x = 218.46 × 147.34
  4. Step 4: Simplify right side
    158.23x = 32,187.90
  5. Step 5: Solve for x
    x = 32,187.90/158.23
  6. Step 6: Final answer
    x = 203.42

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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.