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Finding the Fourth Proportional to 341.86, 514.08 and 272.60

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Solution

The fourth proportional to 341.86, 514.08 and 272.60 is: 409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.86 : 514.08 = 272.60 : x
  2. Step 2: Convert to fraction form
    341.86/514.08 = 272.60/x
  3. Step 3: Cross multiply
    341.86x = 514.08 × 272.60
  4. Step 4: Simplify right side
    341.86x = 140,138.21
  5. Step 5: Solve for x
    x = 140,138.21/341.86
  6. Step 6: Final answer
    x = 409.93

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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.