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Finding the Fourth Proportional to 97.39, 134.39 and 53.72

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Solution

The fourth proportional to 97.39, 134.39 and 53.72 is: 74.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.39 : 134.39 = 53.72 : x
  2. Step 2: Convert to fraction form
    97.39/134.39 = 53.72/x
  3. Step 3: Cross multiply
    97.39x = 134.39 × 53.72
  4. Step 4: Simplify right side
    97.39x = 7,219.09
  5. Step 5: Solve for x
    x = 7,219.09/97.39
  6. Step 6: Final answer
    x = 74.13

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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.