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Finding the Fourth Proportional to 421.43, 631.83 and 202.05

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Solution

The fourth proportional to 421.43, 631.83 and 202.05 is: 302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.43 : 631.83 = 202.05 : x
  2. Step 2: Convert to fraction form
    421.43/631.83 = 202.05/x
  3. Step 3: Cross multiply
    421.43x = 631.83 × 202.05
  4. Step 4: Simplify right side
    421.43x = 127,661.25
  5. Step 5: Solve for x
    x = 127,661.25/421.43
  6. Step 6: Final answer
    x = 302.93

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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.