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Finding the Fourth Proportional to 294.03, 438.28 and 289.17

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Solution

The fourth proportional to 294.03, 438.28 and 289.17 is: 431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.03 : 438.28 = 289.17 : x
  2. Step 2: Convert to fraction form
    294.03/438.28 = 289.17/x
  3. Step 3: Cross multiply
    294.03x = 438.28 × 289.17
  4. Step 4: Simplify right side
    294.03x = 126,736.70
  5. Step 5: Solve for x
    x = 126,736.70/294.03
  6. Step 6: Final answer
    x = 431.03

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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.