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Finding the Fourth Proportional to 34.65, 52.02 and 27.45

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Solution

The fourth proportional to 34.65, 52.02 and 27.45 is: 41.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.65 : 52.02 = 27.45 : x
  2. Step 2: Convert to fraction form
    34.65/52.02 = 27.45/x
  3. Step 3: Cross multiply
    34.65x = 52.02 × 27.45
  4. Step 4: Simplify right side
    34.65x = 1,428.04
  5. Step 5: Solve for x
    x = 1,428.04/34.65
  6. Step 6: Final answer
    x = 41.21

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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.