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Finding the Fourth Proportional to 413.11, 569.85 and 364.10

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Solution

The fourth proportional to 413.11, 569.85 and 364.10 is: 502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.11 : 569.85 = 364.10 : x
  2. Step 2: Convert to fraction form
    413.11/569.85 = 364.10/x
  3. Step 3: Cross multiply
    413.11x = 569.85 × 364.10
  4. Step 4: Simplify right side
    413.11x = 207,482.39
  5. Step 5: Solve for x
    x = 207,482.39/413.11
  6. Step 6: Final answer
    x = 502.25

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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.