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Finding the Fourth Proportional to 27.69, 41.53 and 7.40

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Solution

The fourth proportional to 27.69, 41.53 and 7.40 is: 11.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.69 : 41.53 = 7.40 : x
  2. Step 2: Convert to fraction form
    27.69/41.53 = 7.40/x
  3. Step 3: Cross multiply
    27.69x = 41.53 × 7.40
  4. Step 4: Simplify right side
    27.69x = 307.28
  5. Step 5: Solve for x
    x = 307.28/27.69
  6. Step 6: Final answer
    x = 11.10

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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.