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Finding the Fourth Proportional to 199.53, 275.16 and 147

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Solution

The fourth proportional to 199.53, 275.16 and 147 is: 202.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.53 : 275.16 = 147 : x
  2. Step 2: Convert to fraction form
    199.53/275.16 = 147/x
  3. Step 3: Cross multiply
    199.53x = 275.16 × 147
  4. Step 4: Simplify right side
    199.53x = 40,448.52
  5. Step 5: Solve for x
    x = 40,448.52/199.53
  6. Step 6: Final answer
    x = 202.72

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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.