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Finding the Fourth Proportional to 104.95, 157.49 and 59.38

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Solution

The fourth proportional to 104.95, 157.49 and 59.38 is: 89.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.95 : 157.49 = 59.38 : x
  2. Step 2: Convert to fraction form
    104.95/157.49 = 59.38/x
  3. Step 3: Cross multiply
    104.95x = 157.49 × 59.38
  4. Step 4: Simplify right side
    104.95x = 9,352.51
  5. Step 5: Solve for x
    x = 9,352.51/104.95
  6. Step 6: Final answer
    x = 89.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.