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Finding the Fourth Proportional to 413.05, 569.91 and 302.33

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Solution

The fourth proportional to 413.05, 569.91 and 302.33 is: 417.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.05 : 569.91 = 302.33 : x
  2. Step 2: Convert to fraction form
    413.05/569.91 = 302.33/x
  3. Step 3: Cross multiply
    413.05x = 569.91 × 302.33
  4. Step 4: Simplify right side
    413.05x = 172,302.60
  5. Step 5: Solve for x
    x = 172,302.60/413.05
  6. Step 6: Final answer
    x = 417.15

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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.