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Finding the Fourth Proportional to 97.83, 145.80 and 92.43

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Solution

The fourth proportional to 97.83, 145.80 and 92.43 is: 137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.83 : 145.80 = 92.43 : x
  2. Step 2: Convert to fraction form
    97.83/145.80 = 92.43/x
  3. Step 3: Cross multiply
    97.83x = 145.80 × 92.43
  4. Step 4: Simplify right side
    97.83x = 13,476.29
  5. Step 5: Solve for x
    x = 13,476.29/97.83
  6. Step 6: Final answer
    x = 137.75

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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.