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Finding the Fourth Proportional to 246.72, 370.40 and 165.60

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Solution

The fourth proportional to 246.72, 370.40 and 165.60 is: 248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.72 : 370.40 = 165.60 : x
  2. Step 2: Convert to fraction form
    246.72/370.40 = 165.60/x
  3. Step 3: Cross multiply
    246.72x = 370.40 × 165.60
  4. Step 4: Simplify right side
    246.72x = 61,338.24
  5. Step 5: Solve for x
    x = 61,338.24/246.72
  6. Step 6: Final answer
    x = 248.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.