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Finding the Fourth Proportional to 418.60, 630.09 and 355.96

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Solution

The fourth proportional to 418.60, 630.09 and 355.96 is: 535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.60 : 630.09 = 355.96 : x
  2. Step 2: Convert to fraction form
    418.60/630.09 = 355.96/x
  3. Step 3: Cross multiply
    418.60x = 630.09 × 355.96
  4. Step 4: Simplify right side
    418.60x = 224,283.69
  5. Step 5: Solve for x
    x = 224,283.69/418.60
  6. Step 6: Final answer
    x = 535.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.