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Finding the Fourth Proportional to 27.05, 40.59 and 9.02

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Solution

The fourth proportional to 27.05, 40.59 and 9.02 is: 13.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.05 : 40.59 = 9.02 : x
  2. Step 2: Convert to fraction form
    27.05/40.59 = 9.02/x
  3. Step 3: Cross multiply
    27.05x = 40.59 × 9.02
  4. Step 4: Simplify right side
    27.05x = 366.01
  5. Step 5: Solve for x
    x = 366.01/27.05
  6. Step 6: Final answer
    x = 13.53

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