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Finding the Fourth Proportional to 2.17, 3.24 and 1.53

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Solution

The fourth proportional to 2.17, 3.24 and 1.53 is: 2.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.17 : 3.24 = 1.53 : x
  2. Step 2: Convert to fraction form
    2.17/3.24 = 1.53/x
  3. Step 3: Cross multiply
    2.17x = 3.24 × 1.53
  4. Step 4: Simplify right side
    2.17x = 4.93
  5. Step 5: Solve for x
    x = 4.93/2.17
  6. Step 6: Final answer
    x = 2.28

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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.