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Finding the Fourth Proportional to 97.61, 145.60 and 96.29

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Solution

The fourth proportional to 97.61, 145.60 and 96.29 is: 143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.61 : 145.60 = 96.29 : x
  2. Step 2: Convert to fraction form
    97.61/145.60 = 96.29/x
  3. Step 3: Cross multiply
    97.61x = 145.60 × 96.29
  4. Step 4: Simplify right side
    97.61x = 14,019.40
  5. Step 5: Solve for x
    x = 14,019.40/97.61
  6. Step 6: Final answer
    x = 143.63

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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.