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Finding the Fourth Proportional to 53.54, 80.32 and 19.30

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Solution

The fourth proportional to 53.54, 80.32 and 19.30 is: 28.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.54 : 80.32 = 19.30 : x
  2. Step 2: Convert to fraction form
    53.54/80.32 = 19.30/x
  3. Step 3: Cross multiply
    53.54x = 80.32 × 19.30
  4. Step 4: Simplify right side
    53.54x = 1,549.93
  5. Step 5: Solve for x
    x = 1,549.93/53.54
  6. Step 6: Final answer
    x = 28.95

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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.