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Finding the Fourth Proportional to 5.10, 7.66 and 3.10

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Solution

The fourth proportional to 5.10, 7.66 and 3.10 is: 4.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.10 : 7.66 = 3.10 : x
  2. Step 2: Convert to fraction form
    5.10/7.66 = 3.10/x
  3. Step 3: Cross multiply
    5.10x = 7.66 × 3.10
  4. Step 4: Simplify right side
    5.10x = 23.75
  5. Step 5: Solve for x
    x = 23.75/5.10
  6. Step 6: Final answer
    x = 4.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.