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Finding the Fourth Proportional to 247.81, 342 and 142.90

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Solution

The fourth proportional to 247.81, 342 and 142.90 is: 197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.81 : 342 = 142.90 : x
  2. Step 2: Convert to fraction form
    247.81/342 = 142.90/x
  3. Step 3: Cross multiply
    247.81x = 342 × 142.90
  4. Step 4: Simplify right side
    247.81x = 48,871.80
  5. Step 5: Solve for x
    x = 48,871.80/247.81
  6. Step 6: Final answer
    x = 197.21

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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.