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Finding the Fourth Proportional to 53.86, 74.33 and 32.85

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Solution

The fourth proportional to 53.86, 74.33 and 32.85 is: 45.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.86 : 74.33 = 32.85 : x
  2. Step 2: Convert to fraction form
    53.86/74.33 = 32.85/x
  3. Step 3: Cross multiply
    53.86x = 74.33 × 32.85
  4. Step 4: Simplify right side
    53.86x = 2,441.58
  5. Step 5: Solve for x
    x = 2,441.58/53.86
  6. Step 6: Final answer
    x = 45.33

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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.