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Finding the Fourth Proportional to 160.81, 242.21 and 149.54

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Solution

The fourth proportional to 160.81, 242.21 and 149.54 is: 225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.81 : 242.21 = 149.54 : x
  2. Step 2: Convert to fraction form
    160.81/242.21 = 149.54/x
  3. Step 3: Cross multiply
    160.81x = 242.21 × 149.54
  4. Step 4: Simplify right side
    160.81x = 36,220.08
  5. Step 5: Solve for x
    x = 36,220.08/160.81
  6. Step 6: Final answer
    x = 225.24

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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.