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Finding the Fourth Proportional to 203.68, 305.28 and 152.02

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Solution

The fourth proportional to 203.68, 305.28 and 152.02 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.68 : 305.28 = 152.02 : x
  2. Step 2: Convert to fraction form
    203.68/305.28 = 152.02/x
  3. Step 3: Cross multiply
    203.68x = 305.28 × 152.02
  4. Step 4: Simplify right side
    203.68x = 46,408.67
  5. Step 5: Solve for x
    x = 46,408.67/203.68
  6. Step 6: Final answer
    x = 227.85

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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.