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Finding the Fourth Proportional to 6.42, 8.85 and 5.88

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Solution

The fourth proportional to 6.42, 8.85 and 5.88 is: 8.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.42 : 8.85 = 5.88 : x
  2. Step 2: Convert to fraction form
    6.42/8.85 = 5.88/x
  3. Step 3: Cross multiply
    6.42x = 8.85 × 5.88
  4. Step 4: Simplify right side
    6.42x = 52.04
  5. Step 5: Solve for x
    x = 52.04/6.42
  6. Step 6: Final answer
    x = 8.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.