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Finding the Fourth Proportional to 341.06, 511.65 and 280.44

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Solution

The fourth proportional to 341.06, 511.65 and 280.44 is: 420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.06 : 511.65 = 280.44 : x
  2. Step 2: Convert to fraction form
    341.06/511.65 = 280.44/x
  3. Step 3: Cross multiply
    341.06x = 511.65 × 280.44
  4. Step 4: Simplify right side
    341.06x = 143,487.13
  5. Step 5: Solve for x
    x = 143,487.13/341.06
  6. Step 6: Final answer
    x = 420.72

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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.