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Finding the Fourth Proportional to 110.64, 165.09 and 98.46

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Solution

The fourth proportional to 110.64, 165.09 and 98.46 is: 146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.64 : 165.09 = 98.46 : x
  2. Step 2: Convert to fraction form
    110.64/165.09 = 98.46/x
  3. Step 3: Cross multiply
    110.64x = 165.09 × 98.46
  4. Step 4: Simplify right side
    110.64x = 16,254.76
  5. Step 5: Solve for x
    x = 16,254.76/110.64
  6. Step 6: Final answer
    x = 146.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.