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Finding the Fourth Proportional to 406.24, 560.82 and 288.32

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Solution

The fourth proportional to 406.24, 560.82 and 288.32 is: 398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.24 : 560.82 = 288.32 : x
  2. Step 2: Convert to fraction form
    406.24/560.82 = 288.32/x
  3. Step 3: Cross multiply
    406.24x = 560.82 × 288.32
  4. Step 4: Simplify right side
    406.24x = 161,695.62
  5. Step 5: Solve for x
    x = 161,695.62/406.24
  6. Step 6: Final answer
    x = 398.03

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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.