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Finding the Fourth Proportional to 5.66, 7.82 and 5.05

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Solution

The fourth proportional to 5.66, 7.82 and 5.05 is: 6.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.66 : 7.82 = 5.05 : x
  2. Step 2: Convert to fraction form
    5.66/7.82 = 5.05/x
  3. Step 3: Cross multiply
    5.66x = 7.82 × 5.05
  4. Step 4: Simplify right side
    5.66x = 39.49
  5. Step 5: Solve for x
    x = 39.49/5.66
  6. Step 6: Final answer
    x = 6.98

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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.