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Finding the Fourth Proportional to 7.35, 11.00 and 7.13

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Solution

The fourth proportional to 7.35, 11.00 and 7.13 is: 10.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.35 : 11.00 = 7.13 : x
  2. Step 2: Convert to fraction form
    7.35/11.00 = 7.13/x
  3. Step 3: Cross multiply
    7.35x = 11.00 × 7.13
  4. Step 4: Simplify right side
    7.35x = 78.34
  5. Step 5: Solve for x
    x = 78.34/7.35
  6. Step 6: Final answer
    x = 10.66

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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.