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Finding the Fourth Proportional to 290.42, 435.07 and 225.38

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Solution

The fourth proportional to 290.42, 435.07 and 225.38 is: 337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.42 : 435.07 = 225.38 : x
  2. Step 2: Convert to fraction form
    290.42/435.07 = 225.38/x
  3. Step 3: Cross multiply
    290.42x = 435.07 × 225.38
  4. Step 4: Simplify right side
    290.42x = 98,057.45
  5. Step 5: Solve for x
    x = 98,057.45/290.42
  6. Step 6: Final answer
    x = 337.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.