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Finding the Fourth Proportional to 341.22, 509.22 and 304.74

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Solution

The fourth proportional to 341.22, 509.22 and 304.74 is: 454.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.22 : 509.22 = 304.74 : x
  2. Step 2: Convert to fraction form
    341.22/509.22 = 304.74/x
  3. Step 3: Cross multiply
    341.22x = 509.22 × 304.74
  4. Step 4: Simplify right side
    341.22x = 155,179.70
  5. Step 5: Solve for x
    x = 155,179.70/341.22
  6. Step 6: Final answer
    x = 454.78

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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.