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Finding the Fourth Proportional to 2.61, 3.88 and 2.58

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Solution

The fourth proportional to 2.61, 3.88 and 2.58 is: 3.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.61 : 3.88 = 2.58 : x
  2. Step 2: Convert to fraction form
    2.61/3.88 = 2.58/x
  3. Step 3: Cross multiply
    2.61x = 3.88 × 2.58
  4. Step 4: Simplify right side
    2.61x = 10.01
  5. Step 5: Solve for x
    x = 10.01/2.61
  6. Step 6: Final answer
    x = 3.84

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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.