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Finding the Fourth Proportional to 69.57, 103.78 and 59.31

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Solution

The fourth proportional to 69.57, 103.78 and 59.31 is: 88.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.57 : 103.78 = 59.31 : x
  2. Step 2: Convert to fraction form
    69.57/103.78 = 59.31/x
  3. Step 3: Cross multiply
    69.57x = 103.78 × 59.31
  4. Step 4: Simplify right side
    69.57x = 6,155.19
  5. Step 5: Solve for x
    x = 6,155.19/69.57
  6. Step 6: Final answer
    x = 88.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.