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Finding the Fourth Proportional to 2.16, 3.24 and 0.97

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Solution

The fourth proportional to 2.16, 3.24 and 0.97 is: 1.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.16 : 3.24 = 0.97 : x
  2. Step 2: Convert to fraction form
    2.16/3.24 = 0.97/x
  3. Step 3: Cross multiply
    2.16x = 3.24 × 0.97
  4. Step 4: Simplify right side
    2.16x = 3.14
  5. Step 5: Solve for x
    x = 3.14/2.16
  6. Step 6: Final answer
    x = 1.45

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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.