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Finding the Fourth Proportional to 158.30, 236.15 and 147.25

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Solution

The fourth proportional to 158.30, 236.15 and 147.25 is: 219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.30 : 236.15 = 147.25 : x
  2. Step 2: Convert to fraction form
    158.30/236.15 = 147.25/x
  3. Step 3: Cross multiply
    158.30x = 236.15 × 147.25
  4. Step 4: Simplify right side
    158.30x = 34,773.20
  5. Step 5: Solve for x
    x = 34,773.20/158.30
  6. Step 6: Final answer
    x = 219.67

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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.