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Finding the Fourth Proportional to 590.94, 886.54 and 206.18

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Solution

The fourth proportional to 590.94, 886.54 and 206.18 is: 309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.94 : 886.54 = 206.18 : x
  2. Step 2: Convert to fraction form
    590.94/886.54 = 206.18/x
  3. Step 3: Cross multiply
    590.94x = 886.54 × 206.18
  4. Step 4: Simplify right side
    590.94x = 182,786.82
  5. Step 5: Solve for x
    x = 182,786.82/590.94
  6. Step 6: Final answer
    x = 309.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.