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Finding the Fourth Proportional to 30.08, 41.80 and 29.60

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Solution

The fourth proportional to 30.08, 41.80 and 29.60 is: 41.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.08 : 41.80 = 29.60 : x
  2. Step 2: Convert to fraction form
    30.08/41.80 = 29.60/x
  3. Step 3: Cross multiply
    30.08x = 41.80 × 29.60
  4. Step 4: Simplify right side
    30.08x = 1,237.28
  5. Step 5: Solve for x
    x = 1,237.28/30.08
  6. Step 6: Final answer
    x = 41.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.