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Finding the Fourth Proportional to 55.66, 76.80 and 34.94

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Solution

The fourth proportional to 55.66, 76.80 and 34.94 is: 48.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.66 : 76.80 = 34.94 : x
  2. Step 2: Convert to fraction form
    55.66/76.80 = 34.94/x
  3. Step 3: Cross multiply
    55.66x = 76.80 × 34.94
  4. Step 4: Simplify right side
    55.66x = 2,683.39
  5. Step 5: Solve for x
    x = 2,683.39/55.66
  6. Step 6: Final answer
    x = 48.21

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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.