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Finding the Fourth Proportional to 199.76, 275.80 and 125.10

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Solution

The fourth proportional to 199.76, 275.80 and 125.10 is: 172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.76 : 275.80 = 125.10 : x
  2. Step 2: Convert to fraction form
    199.76/275.80 = 125.10/x
  3. Step 3: Cross multiply
    199.76x = 275.80 × 125.10
  4. Step 4: Simplify right side
    199.76x = 34,501.58
  5. Step 5: Solve for x
    x = 34,501.58/199.76
  6. Step 6: Final answer
    x = 172.72

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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.