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Finding the Fourth Proportional to 286.60, 430.30 and 225.80

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Solution

The fourth proportional to 286.60, 430.30 and 225.80 is: 339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.60 : 430.30 = 225.80 : x
  2. Step 2: Convert to fraction form
    286.60/430.30 = 225.80/x
  3. Step 3: Cross multiply
    286.60x = 430.30 × 225.80
  4. Step 4: Simplify right side
    286.60x = 97,161.74
  5. Step 5: Solve for x
    x = 97,161.74/286.60
  6. Step 6: Final answer
    x = 339.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.