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Finding the Fourth Proportional to 53.63, 80.51 and 44.72

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Solution

The fourth proportional to 53.63, 80.51 and 44.72 is: 67.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.63 : 80.51 = 44.72 : x
  2. Step 2: Convert to fraction form
    53.63/80.51 = 44.72/x
  3. Step 3: Cross multiply
    53.63x = 80.51 × 44.72
  4. Step 4: Simplify right side
    53.63x = 3,600.41
  5. Step 5: Solve for x
    x = 3,600.41/53.63
  6. Step 6: Final answer
    x = 67.13

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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.