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Finding the Fourth Proportional to 61.02, 92.21 and 61.02

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Solution

The fourth proportional to 61.02, 92.21 and 61.02 is: 92.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.02 : 92.21 = 61.02 : x
  2. Step 2: Convert to fraction form
    61.02/92.21 = 61.02/x
  3. Step 3: Cross multiply
    61.02x = 92.21 × 61.02
  4. Step 4: Simplify right side
    61.02x = 5,626.35
  5. Step 5: Solve for x
    x = 5,626.35/61.02
  6. Step 6: Final answer
    x = 92.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.