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Finding the Fourth Proportional to 413.22, 569.93 and 388.02

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Solution

The fourth proportional to 413.22, 569.93 and 388.02 is: 535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.22 : 569.93 = 388.02 : x
  2. Step 2: Convert to fraction form
    413.22/569.93 = 388.02/x
  3. Step 3: Cross multiply
    413.22x = 569.93 × 388.02
  4. Step 4: Simplify right side
    413.22x = 221,144.24
  5. Step 5: Solve for x
    x = 221,144.24/413.22
  6. Step 6: Final answer
    x = 535.17

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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.