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Finding the Fourth Proportional to 413.18, 569.67 and 346.94

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Solution

The fourth proportional to 413.18, 569.67 and 346.94 is: 478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.18 : 569.67 = 346.94 : x
  2. Step 2: Convert to fraction form
    413.18/569.67 = 346.94/x
  3. Step 3: Cross multiply
    413.18x = 569.67 × 346.94
  4. Step 4: Simplify right side
    413.18x = 197,641.31
  5. Step 5: Solve for x
    x = 197,641.31/413.18
  6. Step 6: Final answer
    x = 478.34

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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.