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Finding the Fourth Proportional to 421.27, 631.71 and 201.86

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Solution

The fourth proportional to 421.27, 631.71 and 201.86 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.27 : 631.71 = 201.86 : x
  2. Step 2: Convert to fraction form
    421.27/631.71 = 201.86/x
  3. Step 3: Cross multiply
    421.27x = 631.71 × 201.86
  4. Step 4: Simplify right side
    421.27x = 127,516.19
  5. Step 5: Solve for x
    x = 127,516.19/421.27
  6. Step 6: Final answer
    x = 302.70

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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.