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Finding the Fourth Proportional to 160.04, 220.37 and 144.60

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Solution

The fourth proportional to 160.04, 220.37 and 144.60 is: 199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.04 : 220.37 = 144.60 : x
  2. Step 2: Convert to fraction form
    160.04/220.37 = 144.60/x
  3. Step 3: Cross multiply
    160.04x = 220.37 × 144.60
  4. Step 4: Simplify right side
    160.04x = 31,864.78
  5. Step 5: Solve for x
    x = 31,864.78/160.04
  6. Step 6: Final answer
    x = 199.11

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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.