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Finding the Fourth Proportional to 3.01, 4.15 and 1.78

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Solution

The fourth proportional to 3.01, 4.15 and 1.78 is: 2.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.01 : 4.15 = 1.78 : x
  2. Step 2: Convert to fraction form
    3.01/4.15 = 1.78/x
  3. Step 3: Cross multiply
    3.01x = 4.15 × 1.78
  4. Step 4: Simplify right side
    3.01x = 7.38
  5. Step 5: Solve for x
    x = 7.38/3.01
  6. Step 6: Final answer
    x = 2.45

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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.