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Finding the Fourth Proportional to 225.40, 336.63 and 189.32

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Solution

The fourth proportional to 225.40, 336.63 and 189.32 is: 282.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.40 : 336.63 = 189.32 : x
  2. Step 2: Convert to fraction form
    225.40/336.63 = 189.32/x
  3. Step 3: Cross multiply
    225.40x = 336.63 × 189.32
  4. Step 4: Simplify right side
    225.40x = 63,730.79
  5. Step 5: Solve for x
    x = 63,730.79/225.40
  6. Step 6: Final answer
    x = 282.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.