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Finding the Fourth Proportional to 55.97, 83.54 and 48.23

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Solution

The fourth proportional to 55.97, 83.54 and 48.23 is: 71.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.97 : 83.54 = 48.23 : x
  2. Step 2: Convert to fraction form
    55.97/83.54 = 48.23/x
  3. Step 3: Cross multiply
    55.97x = 83.54 × 48.23
  4. Step 4: Simplify right side
    55.97x = 4,028.84
  5. Step 5: Solve for x
    x = 4,028.84/55.97
  6. Step 6: Final answer
    x = 71.98

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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.