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Finding the Fourth Proportional to 275.57, 412.94 and 153.47

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Solution

The fourth proportional to 275.57, 412.94 and 153.47 is: 229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.57 : 412.94 = 153.47 : x
  2. Step 2: Convert to fraction form
    275.57/412.94 = 153.47/x
  3. Step 3: Cross multiply
    275.57x = 412.94 × 153.47
  4. Step 4: Simplify right side
    275.57x = 63,371.07
  5. Step 5: Solve for x
    x = 63,371.07/275.57
  6. Step 6: Final answer
    x = 229.97

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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.