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Finding the Fourth Proportional to 5.49, 7.55 and 5.13

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Solution

The fourth proportional to 5.49, 7.55 and 5.13 is: 7.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.49 : 7.55 = 5.13 : x
  2. Step 2: Convert to fraction form
    5.49/7.55 = 5.13/x
  3. Step 3: Cross multiply
    5.49x = 7.55 × 5.13
  4. Step 4: Simplify right side
    5.49x = 38.71
  5. Step 5: Solve for x
    x = 38.71/5.49
  6. Step 6: Final answer
    x = 7.05

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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.