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Finding the Fourth Proportional to 55.40, 76.37 and 43.74

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Solution

The fourth proportional to 55.40, 76.37 and 43.74 is: 60.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.40 : 76.37 = 43.74 : x
  2. Step 2: Convert to fraction form
    55.40/76.37 = 43.74/x
  3. Step 3: Cross multiply
    55.40x = 76.37 × 43.74
  4. Step 4: Simplify right side
    55.40x = 3,340.21
  5. Step 5: Solve for x
    x = 3,340.21/55.40
  6. Step 6: Final answer
    x = 60.30

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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.