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Finding the Fourth Proportional to 2.40, 3.58 and 1.92

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Solution

The fourth proportional to 2.40, 3.58 and 1.92 is: 2.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.40 : 3.58 = 1.92 : x
  2. Step 2: Convert to fraction form
    2.40/3.58 = 1.92/x
  3. Step 3: Cross multiply
    2.40x = 3.58 × 1.92
  4. Step 4: Simplify right side
    2.40x = 6.87
  5. Step 5: Solve for x
    x = 6.87/2.40
  6. Step 6: Final answer
    x = 2.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.