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Finding the Fourth Proportional to 252.30, 348.09 and 148.74

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Solution

The fourth proportional to 252.30, 348.09 and 148.74 is: 205.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.30 : 348.09 = 148.74 : x
  2. Step 2: Convert to fraction form
    252.30/348.09 = 148.74/x
  3. Step 3: Cross multiply
    252.30x = 348.09 × 148.74
  4. Step 4: Simplify right side
    252.30x = 51,774.91
  5. Step 5: Solve for x
    x = 51,774.91/252.30
  6. Step 6: Final answer
    x = 205.21

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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.