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Finding the Fourth Proportional to 207.29, 285.30 and 148.97

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Solution

The fourth proportional to 207.29, 285.30 and 148.97 is: 205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.29 : 285.30 = 148.97 : x
  2. Step 2: Convert to fraction form
    207.29/285.30 = 148.97/x
  3. Step 3: Cross multiply
    207.29x = 285.30 × 148.97
  4. Step 4: Simplify right side
    207.29x = 42,501.14
  5. Step 5: Solve for x
    x = 42,501.14/207.29
  6. Step 6: Final answer
    x = 205.03

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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.