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Finding the Fourth Proportional to 108.89, 150.26 and 64.65

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Solution

The fourth proportional to 108.89, 150.26 and 64.65 is: 89.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.89 : 150.26 = 64.65 : x
  2. Step 2: Convert to fraction form
    108.89/150.26 = 64.65/x
  3. Step 3: Cross multiply
    108.89x = 150.26 × 64.65
  4. Step 4: Simplify right side
    108.89x = 9,713.99
  5. Step 5: Solve for x
    x = 9,713.99/108.89
  6. Step 6: Final answer
    x = 89.21

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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.