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Finding the Fourth Proportional to 225.40, 336.59 and 195.04

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Solution

The fourth proportional to 225.40, 336.59 and 195.04 is: 291.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.40 : 336.59 = 195.04 : x
  2. Step 2: Convert to fraction form
    225.40/336.59 = 195.04/x
  3. Step 3: Cross multiply
    225.40x = 336.59 × 195.04
  4. Step 4: Simplify right side
    225.40x = 65,648.51
  5. Step 5: Solve for x
    x = 65,648.51/225.40
  6. Step 6: Final answer
    x = 291.25

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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.