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Finding the Fourth Proportional to 97.48, 145.01 and 94.28

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Solution

The fourth proportional to 97.48, 145.01 and 94.28 is: 140.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.48 : 145.01 = 94.28 : x
  2. Step 2: Convert to fraction form
    97.48/145.01 = 94.28/x
  3. Step 3: Cross multiply
    97.48x = 145.01 × 94.28
  4. Step 4: Simplify right side
    97.48x = 13,671.54
  5. Step 5: Solve for x
    x = 13,671.54/97.48
  6. Step 6: Final answer
    x = 140.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.