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Finding the Fourth Proportional to 158.24, 236.06 and 147.19

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Solution

The fourth proportional to 158.24, 236.06 and 147.19 is: 219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.24 : 236.06 = 147.19 : x
  2. Step 2: Convert to fraction form
    158.24/236.06 = 147.19/x
  3. Step 3: Cross multiply
    158.24x = 236.06 × 147.19
  4. Step 4: Simplify right side
    158.24x = 34,744.94
  5. Step 5: Solve for x
    x = 34,744.94/158.24
  6. Step 6: Final answer
    x = 219.57

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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.