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Finding the Fourth Proportional to 275.22, 412.47 and 153.23

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Solution

The fourth proportional to 275.22, 412.47 and 153.23 is: 229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 412.47 = 153.23 : x
  2. Step 2: Convert to fraction form
    275.22/412.47 = 153.23/x
  3. Step 3: Cross multiply
    275.22x = 412.47 × 153.23
  4. Step 4: Simplify right side
    275.22x = 63,200.72
  5. Step 5: Solve for x
    x = 63,200.72/275.22
  6. Step 6: Final answer
    x = 229.64

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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.