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Finding the Fourth Proportional to 511.65, 706.08 and 290.56

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Solution

The fourth proportional to 511.65, 706.08 and 290.56 is: 400.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 706.08 = 290.56 : x
  2. Step 2: Convert to fraction form
    511.65/706.08 = 290.56/x
  3. Step 3: Cross multiply
    511.65x = 706.08 × 290.56
  4. Step 4: Simplify right side
    511.65x = 205,156.84
  5. Step 5: Solve for x
    x = 205,156.84/511.65
  6. Step 6: Final answer
    x = 400.97

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