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Finding the Fourth Proportional to 40.62, 61.19 and 30

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Solution

The fourth proportional to 40.62, 61.19 and 30 is: 45.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.62 : 61.19 = 30 : x
  2. Step 2: Convert to fraction form
    40.62/61.19 = 30/x
  3. Step 3: Cross multiply
    40.62x = 61.19 × 30
  4. Step 4: Simplify right side
    40.62x = 1,835.55
  5. Step 5: Solve for x
    x = 1,835.55/40.62
  6. Step 6: Final answer
    x = 45.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.