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Finding the Fourth Proportional to 341.79, 511.95 and 272.94

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Solution

The fourth proportional to 341.79, 511.95 and 272.94 is: 408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.79 : 511.95 = 272.94 : x
  2. Step 2: Convert to fraction form
    341.79/511.95 = 272.94/x
  3. Step 3: Cross multiply
    341.79x = 511.95 × 272.94
  4. Step 4: Simplify right side
    341.79x = 139,731.63
  5. Step 5: Solve for x
    x = 139,731.63/341.79
  6. Step 6: Final answer
    x = 408.82

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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.