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Finding the Fourth Proportional to 413.03, 570.08 and 257.75

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Solution

The fourth proportional to 413.03, 570.08 and 257.75 is: 355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.03 : 570.08 = 257.75 : x
  2. Step 2: Convert to fraction form
    413.03/570.08 = 257.75/x
  3. Step 3: Cross multiply
    413.03x = 570.08 × 257.75
  4. Step 4: Simplify right side
    413.03x = 146,938.12
  5. Step 5: Solve for x
    x = 146,938.12/413.03
  6. Step 6: Final answer
    x = 355.76

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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.