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Finding the Fourth Proportional to 423.01, 633.88 and 306.78

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Solution

The fourth proportional to 423.01, 633.88 and 306.78 is: 459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.01 : 633.88 = 306.78 : x
  2. Step 2: Convert to fraction form
    423.01/633.88 = 306.78/x
  3. Step 3: Cross multiply
    423.01x = 633.88 × 306.78
  4. Step 4: Simplify right side
    423.01x = 194,461.71
  5. Step 5: Solve for x
    x = 194,461.71/423.01
  6. Step 6: Final answer
    x = 459.71

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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.