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Finding the Fourth Proportional to 163.32, 224.45 and 152.52

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Solution

The fourth proportional to 163.32, 224.45 and 152.52 is: 209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.32 : 224.45 = 152.52 : x
  2. Step 2: Convert to fraction form
    163.32/224.45 = 152.52/x
  3. Step 3: Cross multiply
    163.32x = 224.45 × 152.52
  4. Step 4: Simplify right side
    163.32x = 34,232.35
  5. Step 5: Solve for x
    x = 34,232.35/163.32
  6. Step 6: Final answer
    x = 209.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.