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Finding the Fourth Proportional to 59.89, 82.56 and 49.51

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Solution

The fourth proportional to 59.89, 82.56 and 49.51 is: 68.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.89 : 82.56 = 49.51 : x
  2. Step 2: Convert to fraction form
    59.89/82.56 = 49.51/x
  3. Step 3: Cross multiply
    59.89x = 82.56 × 49.51
  4. Step 4: Simplify right side
    59.89x = 4,087.55
  5. Step 5: Solve for x
    x = 4,087.55/59.89
  6. Step 6: Final answer
    x = 68.25

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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.