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Finding the Fourth Proportional to 53.15, 79.41 and 44.06

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Solution

The fourth proportional to 53.15, 79.41 and 44.06 is: 65.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.15 : 79.41 = 44.06 : x
  2. Step 2: Convert to fraction form
    53.15/79.41 = 44.06/x
  3. Step 3: Cross multiply
    53.15x = 79.41 × 44.06
  4. Step 4: Simplify right side
    53.15x = 3,498.58
  5. Step 5: Solve for x
    x = 3,498.58/53.15
  6. Step 6: Final answer
    x = 65.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.