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Finding the Fourth Proportional to 59.14, 89.22 and 55.82

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Solution

The fourth proportional to 59.14, 89.22 and 55.82 is: 84.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.14 : 89.22 = 55.82 : x
  2. Step 2: Convert to fraction form
    59.14/89.22 = 55.82/x
  3. Step 3: Cross multiply
    59.14x = 89.22 × 55.82
  4. Step 4: Simplify right side
    59.14x = 4,980.26
  5. Step 5: Solve for x
    x = 4,980.26/59.14
  6. Step 6: Final answer
    x = 84.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.