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Finding the Fourth Proportional to 2.33, 3.47 and 2.13

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Solution

The fourth proportional to 2.33, 3.47 and 2.13 is: 3.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.33 : 3.47 = 2.13 : x
  2. Step 2: Convert to fraction form
    2.33/3.47 = 2.13/x
  3. Step 3: Cross multiply
    2.33x = 3.47 × 2.13
  4. Step 4: Simplify right side
    2.33x = 7.38
  5. Step 5: Solve for x
    x = 7.38/2.33
  6. Step 6: Final answer
    x = 3.17

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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.