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Finding the Fourth Proportional to 55.99, 77.37 and 49.10

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Solution

The fourth proportional to 55.99, 77.37 and 49.10 is: 67.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.99 : 77.37 = 49.10 : x
  2. Step 2: Convert to fraction form
    55.99/77.37 = 49.10/x
  3. Step 3: Cross multiply
    55.99x = 77.37 × 49.10
  4. Step 4: Simplify right side
    55.99x = 3,798.87
  5. Step 5: Solve for x
    x = 3,798.87/55.99
  6. Step 6: Final answer
    x = 67.86

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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.