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Finding the Fourth Proportional to 59.20, 78.20 and 59.20

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Solution

The fourth proportional to 59.20, 78.20 and 59.20 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.20 : 78.20 = 59.20 : x
  2. Step 2: Convert to fraction form
    59.20/78.20 = 59.20/x
  3. Step 3: Cross multiply
    59.20x = 78.20 × 59.20
  4. Step 4: Simplify right side
    59.20x = 4,629.44
  5. Step 5: Solve for x
    x = 4,629.44/59.20
  6. Step 6: Final answer
    x = 78.20

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.