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Finding the Fourth Proportional to 160.02, 221.01 and 135.18

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Solution

The fourth proportional to 160.02, 221.01 and 135.18 is: 186.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.02 : 221.01 = 135.18 : x
  2. Step 2: Convert to fraction form
    160.02/221.01 = 135.18/x
  3. Step 3: Cross multiply
    160.02x = 221.01 × 135.18
  4. Step 4: Simplify right side
    160.02x = 29,876.13
  5. Step 5: Solve for x
    x = 29,876.13/160.02
  6. Step 6: Final answer
    x = 186.70

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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.