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Finding the Fourth Proportional to 55.22, 76.25 and 42.75

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Solution

The fourth proportional to 55.22, 76.25 and 42.75 is: 59.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.22 : 76.25 = 42.75 : x
  2. Step 2: Convert to fraction form
    55.22/76.25 = 42.75/x
  3. Step 3: Cross multiply
    55.22x = 76.25 × 42.75
  4. Step 4: Simplify right side
    55.22x = 3,259.47
  5. Step 5: Solve for x
    x = 3,259.47/55.22
  6. Step 6: Final answer
    x = 59.03

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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.