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Finding the Fourth Proportional to 199.87, 275.86 and 117.01

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Solution

The fourth proportional to 199.87, 275.86 and 117.01 is: 161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.87 : 275.86 = 117.01 : x
  2. Step 2: Convert to fraction form
    199.87/275.86 = 117.01/x
  3. Step 3: Cross multiply
    199.87x = 275.86 × 117.01
  4. Step 4: Simplify right side
    199.87x = 32,278.38
  5. Step 5: Solve for x
    x = 32,278.38/199.87
  6. Step 6: Final answer
    x = 161.50

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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.