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Finding the Fourth Proportional to 416.78, 575.06 and 304.94

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Solution

The fourth proportional to 416.78, 575.06 and 304.94 is: 420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 575.06 = 304.94 : x
  2. Step 2: Convert to fraction form
    416.78/575.06 = 304.94/x
  3. Step 3: Cross multiply
    416.78x = 575.06 × 304.94
  4. Step 4: Simplify right side
    416.78x = 175,358.80
  5. Step 5: Solve for x
    x = 175,358.80/416.78
  6. Step 6: Final answer
    x = 420.75

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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.