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Finding the Fourth Proportional to 75.40, 104.08 and 53.64

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Solution

The fourth proportional to 75.40, 104.08 and 53.64 is: 74.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.40 : 104.08 = 53.64 : x
  2. Step 2: Convert to fraction form
    75.40/104.08 = 53.64/x
  3. Step 3: Cross multiply
    75.40x = 104.08 × 53.64
  4. Step 4: Simplify right side
    75.40x = 5,582.85
  5. Step 5: Solve for x
    x = 5,582.85/75.40
  6. Step 6: Final answer
    x = 74.04

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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.