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Finding the Fourth Proportional to 419.86, 579.27 and 262.63

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Solution

The fourth proportional to 419.86, 579.27 and 262.63 is: 362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.86 : 579.27 = 262.63 : x
  2. Step 2: Convert to fraction form
    419.86/579.27 = 262.63/x
  3. Step 3: Cross multiply
    419.86x = 579.27 × 262.63
  4. Step 4: Simplify right side
    419.86x = 152,133.68
  5. Step 5: Solve for x
    x = 152,133.68/419.86
  6. Step 6: Final answer
    x = 362.34

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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.