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Finding the Fourth Proportional to 511.01, 705.15 and 289.99

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Solution

The fourth proportional to 511.01, 705.15 and 289.99 is: 400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.01 : 705.15 = 289.99 : x
  2. Step 2: Convert to fraction form
    511.01/705.15 = 289.99/x
  3. Step 3: Cross multiply
    511.01x = 705.15 × 289.99
  4. Step 4: Simplify right side
    511.01x = 204,485.00
  5. Step 5: Solve for x
    x = 204,485.00/511.01
  6. Step 6: Final answer
    x = 400.16

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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.