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Finding the Fourth Proportional to 59.36, 82.08 and 53.91

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Solution

The fourth proportional to 59.36, 82.08 and 53.91 is: 74.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.36 : 82.08 = 53.91 : x
  2. Step 2: Convert to fraction form
    59.36/82.08 = 53.91/x
  3. Step 3: Cross multiply
    59.36x = 82.08 × 53.91
  4. Step 4: Simplify right side
    59.36x = 4,424.93
  5. Step 5: Solve for x
    x = 4,424.93/59.36
  6. Step 6: Final answer
    x = 74.55

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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.