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Finding the Fourth Proportional to 59.23, 81.70 and 35.90

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Solution

The fourth proportional to 59.23, 81.70 and 35.90 is: 49.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.23 : 81.70 = 35.90 : x
  2. Step 2: Convert to fraction form
    59.23/81.70 = 35.90/x
  3. Step 3: Cross multiply
    59.23x = 81.70 × 35.90
  4. Step 4: Simplify right side
    59.23x = 2,932.84
  5. Step 5: Solve for x
    x = 2,932.84/59.23
  6. Step 6: Final answer
    x = 49.52

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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.