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Finding the Fourth Proportional to 413.33, 569.48 and 346.68

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Solution

The fourth proportional to 413.33, 569.48 and 346.68 is: 477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.33 : 569.48 = 346.68 : x
  2. Step 2: Convert to fraction form
    413.33/569.48 = 346.68/x
  3. Step 3: Cross multiply
    413.33x = 569.48 × 346.68
  4. Step 4: Simplify right side
    413.33x = 197,425.59
  5. Step 5: Solve for x
    x = 197,425.59/413.33
  6. Step 6: Final answer
    x = 477.65

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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.