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Finding the Fourth Proportional to 109.16, 150.64 and 64.90

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Solution

The fourth proportional to 109.16, 150.64 and 64.90 is: 89.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.16 : 150.64 = 64.90 : x
  2. Step 2: Convert to fraction form
    109.16/150.64 = 64.90/x
  3. Step 3: Cross multiply
    109.16x = 150.64 × 64.90
  4. Step 4: Simplify right side
    109.16x = 9,776.56
  5. Step 5: Solve for x
    x = 9,776.56/109.16
  6. Step 6: Final answer
    x = 89.56

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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.