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Finding the Fourth Proportional to 55.98, 83.61 and 51.44

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Solution

The fourth proportional to 55.98, 83.61 and 51.44 is: 76.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.98 : 83.61 = 51.44 : x
  2. Step 2: Convert to fraction form
    55.98/83.61 = 51.44/x
  3. Step 3: Cross multiply
    55.98x = 83.61 × 51.44
  4. Step 4: Simplify right side
    55.98x = 4,300.48
  5. Step 5: Solve for x
    x = 4,300.48/55.98
  6. Step 6: Final answer
    x = 76.82

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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.