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Finding the Fourth Proportional to 206.46, 285.24 and 160.02

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Solution

The fourth proportional to 206.46, 285.24 and 160.02 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.46 : 285.24 = 160.02 : x
  2. Step 2: Convert to fraction form
    206.46/285.24 = 160.02/x
  3. Step 3: Cross multiply
    206.46x = 285.24 × 160.02
  4. Step 4: Simplify right side
    206.46x = 45,644.10
  5. Step 5: Solve for x
    x = 45,644.10/206.46
  6. Step 6: Final answer
    x = 221.08

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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.