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Finding the Fourth Proportional to 10.31, 15.48 and 7.32

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Solution

The fourth proportional to 10.31, 15.48 and 7.32 is: 11.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.31 : 15.48 = 7.32 : x
  2. Step 2: Convert to fraction form
    10.31/15.48 = 7.32/x
  3. Step 3: Cross multiply
    10.31x = 15.48 × 7.32
  4. Step 4: Simplify right side
    10.31x = 113.31
  5. Step 5: Solve for x
    x = 113.31/10.31
  6. Step 6: Final answer
    x = 11.00

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Why These Related Problems?

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