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Finding the Fourth Proportional to 53.60, 80.40 and 15.08

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Solution

The fourth proportional to 53.60, 80.40 and 15.08 is: 22.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.60 : 80.40 = 15.08 : x
  2. Step 2: Convert to fraction form
    53.60/80.40 = 15.08/x
  3. Step 3: Cross multiply
    53.60x = 80.40 × 15.08
  4. Step 4: Simplify right side
    53.60x = 1,212.43
  5. Step 5: Solve for x
    x = 1,212.43/53.60
  6. Step 6: Final answer
    x = 22.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.