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Finding the Fourth Proportional to 416.19, 575.46 and 364.29

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Solution

The fourth proportional to 416.19, 575.46 and 364.29 is: 503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.19 : 575.46 = 364.29 : x
  2. Step 2: Convert to fraction form
    416.19/575.46 = 364.29/x
  3. Step 3: Cross multiply
    416.19x = 575.46 × 364.29
  4. Step 4: Simplify right side
    416.19x = 209,634.32
  5. Step 5: Solve for x
    x = 209,634.32/416.19
  6. Step 6: Final answer
    x = 503.70

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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.