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Finding the Fourth Proportional to 7.22, 9.95 and 5.60

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Solution

The fourth proportional to 7.22, 9.95 and 5.60 is: 7.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.22 : 9.95 = 5.60 : x
  2. Step 2: Convert to fraction form
    7.22/9.95 = 5.60/x
  3. Step 3: Cross multiply
    7.22x = 9.95 × 5.60
  4. Step 4: Simplify right side
    7.22x = 55.72
  5. Step 5: Solve for x
    x = 55.72/7.22
  6. Step 6: Final answer
    x = 7.72

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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.