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Finding the Fourth Proportional to 30.76, 42.45 and 23.84

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Solution

The fourth proportional to 30.76, 42.45 and 23.84 is: 32.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.76 : 42.45 = 23.84 : x
  2. Step 2: Convert to fraction form
    30.76/42.45 = 23.84/x
  3. Step 3: Cross multiply
    30.76x = 42.45 × 23.84
  4. Step 4: Simplify right side
    30.76x = 1,012.01
  5. Step 5: Solve for x
    x = 1,012.01/30.76
  6. Step 6: Final answer
    x = 32.91

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Find fourth proportional to 15.38, 21.23 and 11.92
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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.