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Finding the Fourth Proportional to 413.76, 617.28 and 365.16

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Solution

The fourth proportional to 413.76, 617.28 and 365.16 is: 544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.76 : 617.28 = 365.16 : x
  2. Step 2: Convert to fraction form
    413.76/617.28 = 365.16/x
  3. Step 3: Cross multiply
    413.76x = 617.28 × 365.16
  4. Step 4: Simplify right side
    413.76x = 225,405.96
  5. Step 5: Solve for x
    x = 225,405.96/413.76
  6. Step 6: Final answer
    x = 544.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.