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Finding the Fourth Proportional to 55.98, 77.19 and 50.49

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Solution

The fourth proportional to 55.98, 77.19 and 50.49 is: 69.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.98 : 77.19 = 50.49 : x
  2. Step 2: Convert to fraction form
    55.98/77.19 = 50.49/x
  3. Step 3: Cross multiply
    55.98x = 77.19 × 50.49
  4. Step 4: Simplify right side
    55.98x = 3,897.32
  5. Step 5: Solve for x
    x = 3,897.32/55.98
  6. Step 6: Final answer
    x = 69.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.