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Finding the Fourth Proportional to 5.48, 7.57 and 3.06

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Solution

The fourth proportional to 5.48, 7.57 and 3.06 is: 4.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.48 : 7.57 = 3.06 : x
  2. Step 2: Convert to fraction form
    5.48/7.57 = 3.06/x
  3. Step 3: Cross multiply
    5.48x = 7.57 × 3.06
  4. Step 4: Simplify right side
    5.48x = 23.15
  5. Step 5: Solve for x
    x = 23.15/5.48
  6. Step 6: Final answer
    x = 4.22

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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.