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Finding the Fourth Proportional to 413.13, 619.54 and 178.84

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Solution

The fourth proportional to 413.13, 619.54 and 178.84 is: 268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.13 : 619.54 = 178.84 : x
  2. Step 2: Convert to fraction form
    413.13/619.54 = 178.84/x
  3. Step 3: Cross multiply
    413.13x = 619.54 × 178.84
  4. Step 4: Simplify right side
    413.13x = 110,798.53
  5. Step 5: Solve for x
    x = 110,798.53/413.13
  6. Step 6: Final answer
    x = 268.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.