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Finding the Fourth Proportional to 413.78, 570.17 and 301.35

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Solution

The fourth proportional to 413.78, 570.17 and 301.35 is: 415.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.78 : 570.17 = 301.35 : x
  2. Step 2: Convert to fraction form
    413.78/570.17 = 301.35/x
  3. Step 3: Cross multiply
    413.78x = 570.17 × 301.35
  4. Step 4: Simplify right side
    413.78x = 171,819.22
  5. Step 5: Solve for x
    x = 171,819.22/413.78
  6. Step 6: Final answer
    x = 415.25

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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.