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Finding the Fourth Proportional to 511.80, 706.26 and 290.75

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Solution

The fourth proportional to 511.80, 706.26 and 290.75 is: 401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.80 : 706.26 = 290.75 : x
  2. Step 2: Convert to fraction form
    511.80/706.26 = 290.75/x
  3. Step 3: Cross multiply
    511.80x = 706.26 × 290.75
  4. Step 4: Simplify right side
    511.80x = 205,345.10
  5. Step 5: Solve for x
    x = 205,345.10/511.80
  6. Step 6: Final answer
    x = 401.22

Related Problems

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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.