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Finding the Fourth Proportional to 252.06, 347.95 and 189.91

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Solution

The fourth proportional to 252.06, 347.95 and 189.91 is: 262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.06 : 347.95 = 189.91 : x
  2. Step 2: Convert to fraction form
    252.06/347.95 = 189.91/x
  3. Step 3: Cross multiply
    252.06x = 347.95 × 189.91
  4. Step 4: Simplify right side
    252.06x = 66,079.86
  5. Step 5: Solve for x
    x = 66,079.86/252.06
  6. Step 6: Final answer
    x = 262.16

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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.