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Finding the Fourth Proportional to 155.49, 234.36 and 146.67

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Solution

The fourth proportional to 155.49, 234.36 and 146.67 is: 221.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.49 : 234.36 = 146.67 : x
  2. Step 2: Convert to fraction form
    155.49/234.36 = 146.67/x
  3. Step 3: Cross multiply
    155.49x = 234.36 × 146.67
  4. Step 4: Simplify right side
    155.49x = 34,373.58
  5. Step 5: Solve for x
    x = 34,373.58/155.49
  6. Step 6: Final answer
    x = 221.07

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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.