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Finding the Fourth Proportional to 6.02, 8.20 and 5.98

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Solution

The fourth proportional to 6.02, 8.20 and 5.98 is: 8.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.02 : 8.20 = 5.98 : x
  2. Step 2: Convert to fraction form
    6.02/8.20 = 5.98/x
  3. Step 3: Cross multiply
    6.02x = 8.20 × 5.98
  4. Step 4: Simplify right side
    6.02x = 48.97
  5. Step 5: Solve for x
    x = 48.97/6.02
  6. Step 6: Final answer
    x = 8.13

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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.