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Finding the Fourth Proportional to 65.85, 90.17 and 65.67

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Solution

The fourth proportional to 65.85, 90.17 and 65.67 is: 89.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.85 : 90.17 = 65.67 : x
  2. Step 2: Convert to fraction form
    65.85/90.17 = 65.67/x
  3. Step 3: Cross multiply
    65.85x = 90.17 × 65.67
  4. Step 4: Simplify right side
    65.85x = 5,921.14
  5. Step 5: Solve for x
    x = 5,921.14/65.85
  6. Step 6: Final answer
    x = 89.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.