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Finding the Fourth Proportional to 59.46, 82.10 and 40.10

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Solution

The fourth proportional to 59.46, 82.10 and 40.10 is: 55.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.46 : 82.10 = 40.10 : x
  2. Step 2: Convert to fraction form
    59.46/82.10 = 40.10/x
  3. Step 3: Cross multiply
    59.46x = 82.10 × 40.10
  4. Step 4: Simplify right side
    59.46x = 3,292.21
  5. Step 5: Solve for x
    x = 3,292.21/59.46
  6. Step 6: Final answer
    x = 55.37

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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.