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Finding the Fourth Proportional to 110.63, 153.37 and 104.78

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Solution

The fourth proportional to 110.63, 153.37 and 104.78 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.63 : 153.37 = 104.78 : x
  2. Step 2: Convert to fraction form
    110.63/153.37 = 104.78/x
  3. Step 3: Cross multiply
    110.63x = 153.37 × 104.78
  4. Step 4: Simplify right side
    110.63x = 16,068.82
  5. Step 5: Solve for x
    x = 16,068.82/110.63
  6. Step 6: Final answer
    x = 145.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.