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Finding the Fourth Proportional to 160.55, 221.57 and 148.19

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Solution

The fourth proportional to 160.55, 221.57 and 148.19 is: 204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.55 : 221.57 = 148.19 : x
  2. Step 2: Convert to fraction form
    160.55/221.57 = 148.19/x
  3. Step 3: Cross multiply
    160.55x = 221.57 × 148.19
  4. Step 4: Simplify right side
    160.55x = 32,832.61
  5. Step 5: Solve for x
    x = 32,832.61/160.55
  6. Step 6: Final answer
    x = 204.51

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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.