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Finding the Fourth Proportional to 479.50, 661.29 and 302.26

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Solution

The fourth proportional to 479.50, 661.29 and 302.26 is: 416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.50 : 661.29 = 302.26 : x
  2. Step 2: Convert to fraction form
    479.50/661.29 = 302.26/x
  3. Step 3: Cross multiply
    479.50x = 661.29 × 302.26
  4. Step 4: Simplify right side
    479.50x = 199,881.52
  5. Step 5: Solve for x
    x = 199,881.52/479.50
  6. Step 6: Final answer
    x = 416.85

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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.