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Finding the Fourth Proportional to 53.11, 79.72 and 32.86

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Solution

The fourth proportional to 53.11, 79.72 and 32.86 is: 49.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.11 : 79.72 = 32.86 : x
  2. Step 2: Convert to fraction form
    53.11/79.72 = 32.86/x
  3. Step 3: Cross multiply
    53.11x = 79.72 × 32.86
  4. Step 4: Simplify right side
    53.11x = 2,619.60
  5. Step 5: Solve for x
    x = 2,619.60/53.11
  6. Step 6: Final answer
    x = 49.32

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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.