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Finding the Fourth Proportional to 55.72, 76.47 and 55.46

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Solution

The fourth proportional to 55.72, 76.47 and 55.46 is: 76.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.72 : 76.47 = 55.46 : x
  2. Step 2: Convert to fraction form
    55.72/76.47 = 55.46/x
  3. Step 3: Cross multiply
    55.72x = 76.47 × 55.46
  4. Step 4: Simplify right side
    55.72x = 4,241.03
  5. Step 5: Solve for x
    x = 4,241.03/55.72
  6. Step 6: Final answer
    x = 76.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.