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Finding the Fourth Proportional to 55.26, 75.89 and 52.29

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Solution

The fourth proportional to 55.26, 75.89 and 52.29 is: 71.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.26 : 75.89 = 52.29 : x
  2. Step 2: Convert to fraction form
    55.26/75.89 = 52.29/x
  3. Step 3: Cross multiply
    55.26x = 75.89 × 52.29
  4. Step 4: Simplify right side
    55.26x = 3,968.03
  5. Step 5: Solve for x
    x = 3,968.03/55.26
  6. Step 6: Final answer
    x = 71.81

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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.