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Finding the Fourth Proportional to 413.68, 622.96 and 360.22

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Solution

The fourth proportional to 413.68, 622.96 and 360.22 is: 542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.68 : 622.96 = 360.22 : x
  2. Step 2: Convert to fraction form
    413.68/622.96 = 360.22/x
  3. Step 3: Cross multiply
    413.68x = 622.96 × 360.22
  4. Step 4: Simplify right side
    413.68x = 224,402.65
  5. Step 5: Solve for x
    x = 224,402.65/413.68
  6. Step 6: Final answer
    x = 542.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.