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Finding the Fourth Proportional to 225.65, 340.06 and 204.01

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Solution

The fourth proportional to 225.65, 340.06 and 204.01 is: 307.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.65 : 340.06 = 204.01 : x
  2. Step 2: Convert to fraction form
    225.65/340.06 = 204.01/x
  3. Step 3: Cross multiply
    225.65x = 340.06 × 204.01
  4. Step 4: Simplify right side
    225.65x = 69,375.12
  5. Step 5: Solve for x
    x = 69,375.12/225.65
  6. Step 6: Final answer
    x = 307.45

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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.