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Finding the Fourth Proportional to 160.25, 221.03 and 147.18

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Solution

The fourth proportional to 160.25, 221.03 and 147.18 is: 203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.25 : 221.03 = 147.18 : x
  2. Step 2: Convert to fraction form
    160.25/221.03 = 147.18/x
  3. Step 3: Cross multiply
    160.25x = 221.03 × 147.18
  4. Step 4: Simplify right side
    160.25x = 32,530.46
  5. Step 5: Solve for x
    x = 32,530.46/160.25
  6. Step 6: Final answer
    x = 203.00

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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.