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Finding the Fourth Proportional to 59.90, 82.53 and 40.46

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Solution

The fourth proportional to 59.90, 82.53 and 40.46 is: 55.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.90 : 82.53 = 40.46 : x
  2. Step 2: Convert to fraction form
    59.90/82.53 = 40.46/x
  3. Step 3: Cross multiply
    59.90x = 82.53 × 40.46
  4. Step 4: Simplify right side
    59.90x = 3,339.16
  5. Step 5: Solve for x
    x = 3,339.16/59.90
  6. Step 6: Final answer
    x = 55.75

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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.