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Finding the Fourth Proportional to 416.15, 570.11 and 400.57

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Solution

The fourth proportional to 416.15, 570.11 and 400.57 is: 548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.15 : 570.11 = 400.57 : x
  2. Step 2: Convert to fraction form
    416.15/570.11 = 400.57/x
  3. Step 3: Cross multiply
    416.15x = 570.11 × 400.57
  4. Step 4: Simplify right side
    416.15x = 228,367.47
  5. Step 5: Solve for x
    x = 228,367.47/416.15
  6. Step 6: Final answer
    x = 548.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.