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Finding the Fourth Proportional to 7.48, 10.31 and 5.76

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Solution

The fourth proportional to 7.48, 10.31 and 5.76 is: 7.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.48 : 10.31 = 5.76 : x
  2. Step 2: Convert to fraction form
    7.48/10.31 = 5.76/x
  3. Step 3: Cross multiply
    7.48x = 10.31 × 5.76
  4. Step 4: Simplify right side
    7.48x = 59.39
  5. Step 5: Solve for x
    x = 59.39/7.48
  6. Step 6: Final answer
    x = 7.94

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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.