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Finding the Fourth Proportional to 30.72, 41.84 and 30.17

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Solution

The fourth proportional to 30.72, 41.84 and 30.17 is: 41.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.72 : 41.84 = 30.17 : x
  2. Step 2: Convert to fraction form
    30.72/41.84 = 30.17/x
  3. Step 3: Cross multiply
    30.72x = 41.84 × 30.17
  4. Step 4: Simplify right side
    30.72x = 1,261.95
  5. Step 5: Solve for x
    x = 1,261.95/30.72
  6. Step 6: Final answer
    x = 41.08

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Find fourth proportional to 15.36, 20.92 and 15.08
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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.