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Finding the Fourth Proportional to 160.52, 221.57 and 111.46

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Solution

The fourth proportional to 160.52, 221.57 and 111.46 is: 153.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.52 : 221.57 = 111.46 : x
  2. Step 2: Convert to fraction form
    160.52/221.57 = 111.46/x
  3. Step 3: Cross multiply
    160.52x = 221.57 × 111.46
  4. Step 4: Simplify right side
    160.52x = 24,695.08
  5. Step 5: Solve for x
    x = 24,695.08/160.52
  6. Step 6: Final answer
    x = 153.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.