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Finding the Fourth Proportional to 160.04, 221.10 and 143.72

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Solution

The fourth proportional to 160.04, 221.10 and 143.72 is: 198.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.04 : 221.10 = 143.72 : x
  2. Step 2: Convert to fraction form
    160.04/221.10 = 143.72/x
  3. Step 3: Cross multiply
    160.04x = 221.10 × 143.72
  4. Step 4: Simplify right side
    160.04x = 31,776.49
  5. Step 5: Solve for x
    x = 31,776.49/160.04
  6. Step 6: Final answer
    x = 198.55

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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.