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Finding the Fourth Proportional to 27.32, 40.98 and 7.03

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Solution

The fourth proportional to 27.32, 40.98 and 7.03 is: 10.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.32 : 40.98 = 7.03 : x
  2. Step 2: Convert to fraction form
    27.32/40.98 = 7.03/x
  3. Step 3: Cross multiply
    27.32x = 40.98 × 7.03
  4. Step 4: Simplify right side
    27.32x = 288.03
  5. Step 5: Solve for x
    x = 288.03/27.32
  6. Step 6: Final answer
    x = 10.54

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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.