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Finding the Fourth Proportional to 420.39, 628.95 and 282.78

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Solution

The fourth proportional to 420.39, 628.95 and 282.78 is: 423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.39 : 628.95 = 282.78 : x
  2. Step 2: Convert to fraction form
    420.39/628.95 = 282.78/x
  3. Step 3: Cross multiply
    420.39x = 628.95 × 282.78
  4. Step 4: Simplify right side
    420.39x = 177,854.48
  5. Step 5: Solve for x
    x = 177,854.48/420.39
  6. Step 6: Final answer
    x = 423.07

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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.