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Finding the Fourth Proportional to 54.22, 81.15 and 46.93

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Solution

The fourth proportional to 54.22, 81.15 and 46.93 is: 70.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.22 : 81.15 = 46.93 : x
  2. Step 2: Convert to fraction form
    54.22/81.15 = 46.93/x
  3. Step 3: Cross multiply
    54.22x = 81.15 × 46.93
  4. Step 4: Simplify right side
    54.22x = 3,808.41
  5. Step 5: Solve for x
    x = 3,808.41/54.22
  6. Step 6: Final answer
    x = 70.24

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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.