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Finding the Fourth Proportional to 421.99, 633.23 and 237.04

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Solution

The fourth proportional to 421.99, 633.23 and 237.04 is: 355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.99 : 633.23 = 237.04 : x
  2. Step 2: Convert to fraction form
    421.99/633.23 = 237.04/x
  3. Step 3: Cross multiply
    421.99x = 633.23 × 237.04
  4. Step 4: Simplify right side
    421.99x = 150,100.84
  5. Step 5: Solve for x
    x = 150,100.84/421.99
  6. Step 6: Final answer
    x = 355.70

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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.