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Finding the Fourth Proportional to 307.26, 463.19 and 294.90

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Solution

The fourth proportional to 307.26, 463.19 and 294.90 is: 444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.26 : 463.19 = 294.90 : x
  2. Step 2: Convert to fraction form
    307.26/463.19 = 294.90/x
  3. Step 3: Cross multiply
    307.26x = 463.19 × 294.90
  4. Step 4: Simplify right side
    307.26x = 136,593.26
  5. Step 5: Solve for x
    x = 136,593.26/307.26
  6. Step 6: Final answer
    x = 444.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.