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Finding the Fourth Proportional to 207.06, 285.54 and 160.35

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Solution

The fourth proportional to 207.06, 285.54 and 160.35 is: 221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.06 : 285.54 = 160.35 : x
  2. Step 2: Convert to fraction form
    207.06/285.54 = 160.35/x
  3. Step 3: Cross multiply
    207.06x = 285.54 × 160.35
  4. Step 4: Simplify right side
    207.06x = 45,786.34
  5. Step 5: Solve for x
    x = 45,786.34/207.06
  6. Step 6: Final answer
    x = 221.13

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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.