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Finding the Fourth Proportional to 197.50, 272.53 and 110.17

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Solution

The fourth proportional to 197.50, 272.53 and 110.17 is: 152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.50 : 272.53 = 110.17 : x
  2. Step 2: Convert to fraction form
    197.50/272.53 = 110.17/x
  3. Step 3: Cross multiply
    197.50x = 272.53 × 110.17
  4. Step 4: Simplify right side
    197.50x = 30,024.63
  5. Step 5: Solve for x
    x = 30,024.63/197.50
  6. Step 6: Final answer
    x = 152.02

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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.