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Finding the Fourth Proportional to 30.97, 42.68 and 22.76

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Solution

The fourth proportional to 30.97, 42.68 and 22.76 is: 31.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.97 : 42.68 = 22.76 : x
  2. Step 2: Convert to fraction form
    30.97/42.68 = 22.76/x
  3. Step 3: Cross multiply
    30.97x = 42.68 × 22.76
  4. Step 4: Simplify right side
    30.97x = 971.56
  5. Step 5: Solve for x
    x = 971.56/30.97
  6. Step 6: Final answer
    x = 31.37

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Find fourth proportional to 15.48, 21.34 and 11.38
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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.