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Finding the Fourth Proportional to 109.12, 150.56 and 64.84

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Solution

The fourth proportional to 109.12, 150.56 and 64.84 is: 89.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.12 : 150.56 = 64.84 : x
  2. Step 2: Convert to fraction form
    109.12/150.56 = 64.84/x
  3. Step 3: Cross multiply
    109.12x = 150.56 × 64.84
  4. Step 4: Simplify right side
    109.12x = 9,762.31
  5. Step 5: Solve for x
    x = 9,762.31/109.12
  6. Step 6: Final answer
    x = 89.46

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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.