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Finding the Fourth Proportional to 479.31, 661.30 and 302.23

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Solution

The fourth proportional to 479.31, 661.30 and 302.23 is: 416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.31 : 661.30 = 302.23 : x
  2. Step 2: Convert to fraction form
    479.31/661.30 = 302.23/x
  3. Step 3: Cross multiply
    479.31x = 661.30 × 302.23
  4. Step 4: Simplify right side
    479.31x = 199,859.88
  5. Step 5: Solve for x
    x = 199,859.88/479.31
  6. Step 6: Final answer
    x = 416.97

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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.