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Finding the Fourth Proportional to 199.17, 275.13 and 150.03

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Solution

The fourth proportional to 199.17, 275.13 and 150.03 is: 207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.17 : 275.13 = 150.03 : x
  2. Step 2: Convert to fraction form
    199.17/275.13 = 150.03/x
  3. Step 3: Cross multiply
    199.17x = 275.13 × 150.03
  4. Step 4: Simplify right side
    199.17x = 41,277.75
  5. Step 5: Solve for x
    x = 41,277.75/199.17
  6. Step 6: Final answer
    x = 207.25

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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.