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Finding the Fourth Proportional to 246.12, 370.66 and 207.84

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Solution

The fourth proportional to 246.12, 370.66 and 207.84 is: 313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.12 : 370.66 = 207.84 : x
  2. Step 2: Convert to fraction form
    246.12/370.66 = 207.84/x
  3. Step 3: Cross multiply
    246.12x = 370.66 × 207.84
  4. Step 4: Simplify right side
    246.12x = 77,037.97
  5. Step 5: Solve for x
    x = 77,037.97/246.12
  6. Step 6: Final answer
    x = 313.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.