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Finding the Fourth Proportional to 479.60, 661.44 and 292.88

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Solution

The fourth proportional to 479.60, 661.44 and 292.88 is: 403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.60 : 661.44 = 292.88 : x
  2. Step 2: Convert to fraction form
    479.60/661.44 = 292.88/x
  3. Step 3: Cross multiply
    479.60x = 661.44 × 292.88
  4. Step 4: Simplify right side
    479.60x = 193,722.55
  5. Step 5: Solve for x
    x = 193,722.55/479.60
  6. Step 6: Final answer
    x = 403.93

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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.