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Finding the Fourth Proportional to 158.49, 236.59 and 147.24

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Solution

The fourth proportional to 158.49, 236.59 and 147.24 is: 219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.49 : 236.59 = 147.24 : x
  2. Step 2: Convert to fraction form
    158.49/236.59 = 147.24/x
  3. Step 3: Cross multiply
    158.49x = 236.59 × 147.24
  4. Step 4: Simplify right side
    158.49x = 34,835.14
  5. Step 5: Solve for x
    x = 34,835.14/158.49
  6. Step 6: Final answer
    x = 219.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.