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Finding the Fourth Proportional to 97.82, 146.68 and 56.68

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Solution

The fourth proportional to 97.82, 146.68 and 56.68 is: 84.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.82 : 146.68 = 56.68 : x
  2. Step 2: Convert to fraction form
    97.82/146.68 = 56.68/x
  3. Step 3: Cross multiply
    97.82x = 146.68 × 56.68
  4. Step 4: Simplify right side
    97.82x = 8,313.82
  5. Step 5: Solve for x
    x = 8,313.82/97.82
  6. Step 6: Final answer
    x = 84.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.