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Finding the Fourth Proportional to 203.42, 303.66 and 172.64

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Solution

The fourth proportional to 203.42, 303.66 and 172.64 is: 257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.42 : 303.66 = 172.64 : x
  2. Step 2: Convert to fraction form
    203.42/303.66 = 172.64/x
  3. Step 3: Cross multiply
    203.42x = 303.66 × 172.64
  4. Step 4: Simplify right side
    203.42x = 52,423.86
  5. Step 5: Solve for x
    x = 52,423.86/203.42
  6. Step 6: Final answer
    x = 257.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.