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Finding the Fourth Proportional to 53.61, 80 and 45.48

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Solution

The fourth proportional to 53.61, 80 and 45.48 is: 67.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.61 : 80 = 45.48 : x
  2. Step 2: Convert to fraction form
    53.61/80 = 45.48/x
  3. Step 3: Cross multiply
    53.61x = 80 × 45.48
  4. Step 4: Simplify right side
    53.61x = 3,638.40
  5. Step 5: Solve for x
    x = 3,638.40/53.61
  6. Step 6: Final answer
    x = 67.87

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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.