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Finding the Fourth Proportional to 245.62, 340.65 and 225.12

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Solution

The fourth proportional to 245.62, 340.65 and 225.12 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.62 : 340.65 = 225.12 : x
  2. Step 2: Convert to fraction form
    245.62/340.65 = 225.12/x
  3. Step 3: Cross multiply
    245.62x = 340.65 × 225.12
  4. Step 4: Simplify right side
    245.62x = 76,687.13
  5. Step 5: Solve for x
    x = 76,687.13/245.62
  6. Step 6: Final answer
    x = 312.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.