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Finding the Fourth Proportional to 1.15, 1.73 and 0.31

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Solution

The fourth proportional to 1.15, 1.73 and 0.31 is: 0.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.15 : 1.73 = 0.31 : x
  2. Step 2: Convert to fraction form
    1.15/1.73 = 0.31/x
  3. Step 3: Cross multiply
    1.15x = 1.73 × 0.31
  4. Step 4: Simplify right side
    1.15x = 0.53
  5. Step 5: Solve for x
    x = 0.53/1.15
  6. Step 6: Final answer
    x = 0.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.