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Finding the Fourth Proportional to 17.04, 25.60 and 9.02

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Solution

The fourth proportional to 17.04, 25.60 and 9.02 is: 13.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.04 : 25.60 = 9.02 : x
  2. Step 2: Convert to fraction form
    17.04/25.60 = 9.02/x
  3. Step 3: Cross multiply
    17.04x = 25.60 × 9.02
  4. Step 4: Simplify right side
    17.04x = 230.91
  5. Step 5: Solve for x
    x = 230.91/17.04
  6. Step 6: Final answer
    x = 13.55

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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.