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Finding the Fourth Proportional to 246.77, 370.25 and 138.64

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Solution

The fourth proportional to 246.77, 370.25 and 138.64 is: 208.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.77 : 370.25 = 138.64 : x
  2. Step 2: Convert to fraction form
    246.77/370.25 = 138.64/x
  3. Step 3: Cross multiply
    246.77x = 370.25 × 138.64
  4. Step 4: Simplify right side
    246.77x = 51,331.46
  5. Step 5: Solve for x
    x = 51,331.46/246.77
  6. Step 6: Final answer
    x = 208.01

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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.