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Finding the Fourth Proportional to 207.40, 310.76 and 126.00

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Solution

The fourth proportional to 207.40, 310.76 and 126.00 is: 188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 310.76 = 126.00 : x
  2. Step 2: Convert to fraction form
    207.40/310.76 = 126.00/x
  3. Step 3: Cross multiply
    207.40x = 310.76 × 126.00
  4. Step 4: Simplify right side
    207.40x = 39,153.89
  5. Step 5: Solve for x
    x = 39,153.89/207.40
  6. Step 6: Final answer
    x = 188.78

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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.