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Finding the Fourth Proportional to 1.03, 1.42 and 0.57

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Solution

The fourth proportional to 1.03, 1.42 and 0.57 is: 0.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.03 : 1.42 = 0.57 : x
  2. Step 2: Convert to fraction form
    1.03/1.42 = 0.57/x
  3. Step 3: Cross multiply
    1.03x = 1.42 × 0.57
  4. Step 4: Simplify right side
    1.03x = 0.81
  5. Step 5: Solve for x
    x = 0.81/1.03
  6. Step 6: Final answer
    x = 0.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.