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Finding the Fourth Proportional to 59, 81.22 and 45.16

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Solution

The fourth proportional to 59, 81.22 and 45.16 is: 62.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59 : 81.22 = 45.16 : x
  2. Step 2: Convert to fraction form
    59/81.22 = 45.16/x
  3. Step 3: Cross multiply
    59x = 81.22 × 45.16
  4. Step 4: Simplify right side
    59x = 3,667.90
  5. Step 5: Solve for x
    x = 3,667.90/59
  6. Step 6: Final answer
    x = 62.17

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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.