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Finding the Fourth Proportional to 413.76, 571.20 and 336

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Solution

The fourth proportional to 413.76, 571.20 and 336 is: 463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 571.20 = 336 : x
  2. Step 2: Convert to fraction form
    413.76/571.20 = 336/x
  3. Step 3: Cross multiply
    413.76x = 571.20 × 336
  4. Step 4: Simplify right side
    413.76x = 191,923.20
  5. Step 5: Solve for x
    x = 191,923.20/413.76
  6. Step 6: Final answer
    x = 463.85

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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.