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Finding the Fourth Proportional to 53.76, 74.16 and 44.52

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Solution

The fourth proportional to 53.76, 74.16 and 44.52 is: 61.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.76 : 74.16 = 44.52 : x
  2. Step 2: Convert to fraction form
    53.76/74.16 = 44.52/x
  3. Step 3: Cross multiply
    53.76x = 74.16 × 44.52
  4. Step 4: Simplify right side
    53.76x = 3,301.60
  5. Step 5: Solve for x
    x = 3,301.60/53.76
  6. Step 6: Final answer
    x = 61.41

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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.