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Finding the Fourth Proportional to 158.31, 235.55 and 149.67

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Solution

The fourth proportional to 158.31, 235.55 and 149.67 is: 222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.31 : 235.55 = 149.67 : x
  2. Step 2: Convert to fraction form
    158.31/235.55 = 149.67/x
  3. Step 3: Cross multiply
    158.31x = 235.55 × 149.67
  4. Step 4: Simplify right side
    158.31x = 35,255.14
  5. Step 5: Solve for x
    x = 35,255.14/158.31
  6. Step 6: Final answer
    x = 222.70

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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.