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Finding the Fourth Proportional to 511.00, 705.19 and 286.95

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Solution

The fourth proportional to 511.00, 705.19 and 286.95 is: 396.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.00 : 705.19 = 286.95 : x
  2. Step 2: Convert to fraction form
    511.00/705.19 = 286.95/x
  3. Step 3: Cross multiply
    511.00x = 705.19 × 286.95
  4. Step 4: Simplify right side
    511.00x = 202,353.58
  5. Step 5: Solve for x
    x = 202,353.58/511.00
  6. Step 6: Final answer
    x = 396.00

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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.