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Finding the Fourth Proportional to 225.42, 340.50 and 225.42

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Solution

The fourth proportional to 225.42, 340.50 and 225.42 is: 340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 340.50 = 225.42 : x
  2. Step 2: Convert to fraction form
    225.42/340.50 = 225.42/x
  3. Step 3: Cross multiply
    225.42x = 340.50 × 225.42
  4. Step 4: Simplify right side
    225.42x = 76,755.51
  5. Step 5: Solve for x
    x = 76,755.51/225.42
  6. Step 6: Final answer
    x = 340.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.