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Finding the Fourth Proportional to 55.84, 84.16 and 47.92

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Solution

The fourth proportional to 55.84, 84.16 and 47.92 is: 72.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.84 : 84.16 = 47.92 : x
  2. Step 2: Convert to fraction form
    55.84/84.16 = 47.92/x
  3. Step 3: Cross multiply
    55.84x = 84.16 × 47.92
  4. Step 4: Simplify right side
    55.84x = 4,032.95
  5. Step 5: Solve for x
    x = 4,032.95/55.84
  6. Step 6: Final answer
    x = 72.22

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