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Finding the Fourth Proportional to 207, 310.04 and 115.49

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Solution

The fourth proportional to 207, 310.04 and 115.49 is: 172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207 : 310.04 = 115.49 : x
  2. Step 2: Convert to fraction form
    207/310.04 = 115.49/x
  3. Step 3: Cross multiply
    207x = 310.04 × 115.49
  4. Step 4: Simplify right side
    207x = 35,807.15
  5. Step 5: Solve for x
    x = 35,807.15/207
  6. Step 6: Final answer
    x = 172.98

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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.