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Finding the Fourth Proportional to 97.82, 135.05 and 64.67

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Solution

The fourth proportional to 97.82, 135.05 and 64.67 is: 89.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.82 : 135.05 = 64.67 : x
  2. Step 2: Convert to fraction form
    97.82/135.05 = 64.67/x
  3. Step 3: Cross multiply
    97.82x = 135.05 × 64.67
  4. Step 4: Simplify right side
    97.82x = 8,733.05
  5. Step 5: Solve for x
    x = 8,733.05/97.82
  6. Step 6: Final answer
    x = 89.27

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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.