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Finding the Fourth Proportional to 61.40, 92.14 and 22.88

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Solution

The fourth proportional to 61.40, 92.14 and 22.88 is: 34.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.40 : 92.14 = 22.88 : x
  2. Step 2: Convert to fraction form
    61.40/92.14 = 22.88/x
  3. Step 3: Cross multiply
    61.40x = 92.14 × 22.88
  4. Step 4: Simplify right side
    61.40x = 2,108.34
  5. Step 5: Solve for x
    x = 2,108.34/61.40
  6. Step 6: Final answer
    x = 34.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.