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Finding the Fourth Proportional to 418.86, 578.13 and 253.20

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Solution

The fourth proportional to 418.86, 578.13 and 253.20 is: 349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.86 : 578.13 = 253.20 : x
  2. Step 2: Convert to fraction form
    418.86/578.13 = 253.20/x
  3. Step 3: Cross multiply
    418.86x = 578.13 × 253.20
  4. Step 4: Simplify right side
    418.86x = 146,382.52
  5. Step 5: Solve for x
    x = 146,382.52/418.86
  6. Step 6: Final answer
    x = 349.48

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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.