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Finding the Fourth Proportional to 207.18, 285.75 and 160.35

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Solution

The fourth proportional to 207.18, 285.75 and 160.35 is: 221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.18 : 285.75 = 160.35 : x
  2. Step 2: Convert to fraction form
    207.18/285.75 = 160.35/x
  3. Step 3: Cross multiply
    207.18x = 285.75 × 160.35
  4. Step 4: Simplify right side
    207.18x = 45,820.01
  5. Step 5: Solve for x
    x = 45,820.01/207.18
  6. Step 6: Final answer
    x = 221.16

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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.