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Finding the Fourth Proportional to 6.16, 8.50 and 6.02

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Solution

The fourth proportional to 6.16, 8.50 and 6.02 is: 8.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.16 : 8.50 = 6.02 : x
  2. Step 2: Convert to fraction form
    6.16/8.50 = 6.02/x
  3. Step 3: Cross multiply
    6.16x = 8.50 × 6.02
  4. Step 4: Simplify right side
    6.16x = 51.17
  5. Step 5: Solve for x
    x = 51.17/6.16
  6. Step 6: Final answer
    x = 8.31

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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.