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Finding the Fourth Proportional to 53.26, 80.16 and 40.58

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Solution

The fourth proportional to 53.26, 80.16 and 40.58 is: 61.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.26 : 80.16 = 40.58 : x
  2. Step 2: Convert to fraction form
    53.26/80.16 = 40.58/x
  3. Step 3: Cross multiply
    53.26x = 80.16 × 40.58
  4. Step 4: Simplify right side
    53.26x = 3,252.76
  5. Step 5: Solve for x
    x = 3,252.76/53.26
  6. Step 6: Final answer
    x = 61.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.