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Finding the Fourth Proportional to 108.64, 150.09 and 76.06

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Solution

The fourth proportional to 108.64, 150.09 and 76.06 is: 105.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.64 : 150.09 = 76.06 : x
  2. Step 2: Convert to fraction form
    108.64/150.09 = 76.06/x
  3. Step 3: Cross multiply
    108.64x = 150.09 × 76.06
  4. Step 4: Simplify right side
    108.64x = 11,415.85
  5. Step 5: Solve for x
    x = 11,415.85/108.64
  6. Step 6: Final answer
    x = 105.08

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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.