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Finding the Fourth Proportional to 154.49, 232.85 and 145.67

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Solution

The fourth proportional to 154.49, 232.85 and 145.67 is: 219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.49 : 232.85 = 145.67 : x
  2. Step 2: Convert to fraction form
    154.49/232.85 = 145.67/x
  3. Step 3: Cross multiply
    154.49x = 232.85 × 145.67
  4. Step 4: Simplify right side
    154.49x = 33,919.26
  5. Step 5: Solve for x
    x = 33,919.26/154.49
  6. Step 6: Final answer
    x = 219.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.