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Finding the Fourth Proportional to 203.46, 306.21 and 152.37

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Solution

The fourth proportional to 203.46, 306.21 and 152.37 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.46 : 306.21 = 152.37 : x
  2. Step 2: Convert to fraction form
    203.46/306.21 = 152.37/x
  3. Step 3: Cross multiply
    203.46x = 306.21 × 152.37
  4. Step 4: Simplify right side
    203.46x = 46,657.22
  5. Step 5: Solve for x
    x = 46,657.22/203.46
  6. Step 6: Final answer
    x = 229.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.