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Finding the Fourth Proportional to 419.78, 579.50 and 262.49

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Solution

The fourth proportional to 419.78, 579.50 and 262.49 is: 362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.78 : 579.50 = 262.49 : x
  2. Step 2: Convert to fraction form
    419.78/579.50 = 262.49/x
  3. Step 3: Cross multiply
    419.78x = 579.50 × 262.49
  4. Step 4: Simplify right side
    419.78x = 152,114.47
  5. Step 5: Solve for x
    x = 152,114.47/419.78
  6. Step 6: Final answer
    x = 362.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.