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Finding the Fourth Proportional to 1.01, 1.38 and 0.97

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Solution

The fourth proportional to 1.01, 1.38 and 0.97 is: 1.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.01 : 1.38 = 0.97 : x
  2. Step 2: Convert to fraction form
    1.01/1.38 = 0.97/x
  3. Step 3: Cross multiply
    1.01x = 1.38 × 0.97
  4. Step 4: Simplify right side
    1.01x = 1.34
  5. Step 5: Solve for x
    x = 1.34/1.01
  6. Step 6: Final answer
    x = 1.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.