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Finding the Fourth Proportional to 413.58, 570.91 and 256.16

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Solution

The fourth proportional to 413.58, 570.91 and 256.16 is: 353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.58 : 570.91 = 256.16 : x
  2. Step 2: Convert to fraction form
    413.58/570.91 = 256.16/x
  3. Step 3: Cross multiply
    413.58x = 570.91 × 256.16
  4. Step 4: Simplify right side
    413.58x = 146,244.31
  5. Step 5: Solve for x
    x = 146,244.31/413.58
  6. Step 6: Final answer
    x = 353.61

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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.