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Finding the Fourth Proportional to 59.08, 80.95 and 57.03

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Solution

The fourth proportional to 59.08, 80.95 and 57.03 is: 78.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.08 : 80.95 = 57.03 : x
  2. Step 2: Convert to fraction form
    59.08/80.95 = 57.03/x
  3. Step 3: Cross multiply
    59.08x = 80.95 × 57.03
  4. Step 4: Simplify right side
    59.08x = 4,616.58
  5. Step 5: Solve for x
    x = 4,616.58/59.08
  6. Step 6: Final answer
    x = 78.14

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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.