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Finding the Fourth Proportional to 416.95, 576.52 and 365.11

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Solution

The fourth proportional to 416.95, 576.52 and 365.11 is: 504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.95 : 576.52 = 365.11 : x
  2. Step 2: Convert to fraction form
    416.95/576.52 = 365.11/x
  3. Step 3: Cross multiply
    416.95x = 576.52 × 365.11
  4. Step 4: Simplify right side
    416.95x = 210,490.86
  5. Step 5: Solve for x
    x = 210,490.86/416.95
  6. Step 6: Final answer
    x = 504.84

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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.