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Finding the Fourth Proportional to 511.95, 706.49 and 279.07

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Solution

The fourth proportional to 511.95, 706.49 and 279.07 is: 385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.95 : 706.49 = 279.07 : x
  2. Step 2: Convert to fraction form
    511.95/706.49 = 279.07/x
  3. Step 3: Cross multiply
    511.95x = 706.49 × 279.07
  4. Step 4: Simplify right side
    511.95x = 197,160.16
  5. Step 5: Solve for x
    x = 197,160.16/511.95
  6. Step 6: Final answer
    x = 385.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.