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Finding the Fourth Proportional to 207.25, 285.38 and 141.64

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Solution

The fourth proportional to 207.25, 285.38 and 141.64 is: 195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.25 : 285.38 = 141.64 : x
  2. Step 2: Convert to fraction form
    207.25/285.38 = 141.64/x
  3. Step 3: Cross multiply
    207.25x = 285.38 × 141.64
  4. Step 4: Simplify right side
    207.25x = 40,421.22
  5. Step 5: Solve for x
    x = 40,421.22/207.25
  6. Step 6: Final answer
    x = 195.04

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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.