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Finding the Fourth Proportional to 421.54, 631.90 and 202.11

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Solution

The fourth proportional to 421.54, 631.90 and 202.11 is: 302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.54 : 631.90 = 202.11 : x
  2. Step 2: Convert to fraction form
    421.54/631.90 = 202.11/x
  3. Step 3: Cross multiply
    421.54x = 631.90 × 202.11
  4. Step 4: Simplify right side
    421.54x = 127,713.31
  5. Step 5: Solve for x
    x = 127,713.31/421.54
  6. Step 6: Final answer
    x = 302.97

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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.