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Finding the Fourth Proportional to 69.10, 95.30 and 55.28

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Solution

The fourth proportional to 69.10, 95.30 and 55.28 is: 76.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.10 : 95.30 = 55.28 : x
  2. Step 2: Convert to fraction form
    69.10/95.30 = 55.28/x
  3. Step 3: Cross multiply
    69.10x = 95.30 × 55.28
  4. Step 4: Simplify right side
    69.10x = 5,268.51
  5. Step 5: Solve for x
    x = 5,268.51/69.10
  6. Step 6: Final answer
    x = 76.24

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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.