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Finding the Fourth Proportional to 246.60, 340.02 and 202.84

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Solution

The fourth proportional to 246.60, 340.02 and 202.84 is: 279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.60 : 340.02 = 202.84 : x
  2. Step 2: Convert to fraction form
    246.60/340.02 = 202.84/x
  3. Step 3: Cross multiply
    246.60x = 340.02 × 202.84
  4. Step 4: Simplify right side
    246.60x = 68,969.66
  5. Step 5: Solve for x
    x = 68,969.66/246.60
  6. Step 6: Final answer
    x = 279.68

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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.