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Finding the Fourth Proportional to 738.35, 1,107.71 and 225.35

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Solution

The fourth proportional to 738.35, 1,107.71 and 225.35 is: 338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.35 : 1,107.71 = 225.35 : x
  2. Step 2: Convert to fraction form
    738.35/1,107.71 = 225.35/x
  3. Step 3: Cross multiply
    738.35x = 1,107.71 × 225.35
  4. Step 4: Simplify right side
    738.35x = 249,623.90
  5. Step 5: Solve for x
    x = 249,623.90/738.35
  6. Step 6: Final answer
    x = 338.08

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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.