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Finding the Fourth Proportional to 246.79, 370.19 and 138.34

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Solution

The fourth proportional to 246.79, 370.19 and 138.34 is: 207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.79 : 370.19 = 138.34 : x
  2. Step 2: Convert to fraction form
    246.79/370.19 = 138.34/x
  3. Step 3: Cross multiply
    246.79x = 370.19 × 138.34
  4. Step 4: Simplify right side
    246.79x = 51,212.08
  5. Step 5: Solve for x
    x = 51,212.08/246.79
  6. Step 6: Final answer
    x = 207.51

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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.