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Finding the Fourth Proportional to 4.19, 6.28 and 1.65

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Solution

The fourth proportional to 4.19, 6.28 and 1.65 is: 2.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.19 : 6.28 = 1.65 : x
  2. Step 2: Convert to fraction form
    4.19/6.28 = 1.65/x
  3. Step 3: Cross multiply
    4.19x = 6.28 × 1.65
  4. Step 4: Simplify right side
    4.19x = 10.38
  5. Step 5: Solve for x
    x = 10.38/4.19
  6. Step 6: Final answer
    x = 2.48

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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.