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Finding the Fourth Proportional to 246.99, 340.86 and 142.10

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Solution

The fourth proportional to 246.99, 340.86 and 142.10 is: 196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.99 : 340.86 = 142.10 : x
  2. Step 2: Convert to fraction form
    246.99/340.86 = 142.10/x
  3. Step 3: Cross multiply
    246.99x = 340.86 × 142.10
  4. Step 4: Simplify right side
    246.99x = 48,434.50
  5. Step 5: Solve for x
    x = 48,434.50/246.99
  6. Step 6: Final answer
    x = 196.10

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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.