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Finding the Fourth Proportional to 207.98, 287.02 and 114.72

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Solution

The fourth proportional to 207.98, 287.02 and 114.72 is: 158.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.98 : 287.02 = 114.72 : x
  2. Step 2: Convert to fraction form
    207.98/287.02 = 114.72/x
  3. Step 3: Cross multiply
    207.98x = 287.02 × 114.72
  4. Step 4: Simplify right side
    207.98x = 32,926.93
  5. Step 5: Solve for x
    x = 32,926.93/207.98
  6. Step 6: Final answer
    x = 158.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.