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Finding the Fourth Proportional to 427.48, 590.19 and 309.85

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Solution

The fourth proportional to 427.48, 590.19 and 309.85 is: 427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.48 : 590.19 = 309.85 : x
  2. Step 2: Convert to fraction form
    427.48/590.19 = 309.85/x
  3. Step 3: Cross multiply
    427.48x = 590.19 × 309.85
  4. Step 4: Simplify right side
    427.48x = 182,870.06
  5. Step 5: Solve for x
    x = 182,870.06/427.48
  6. Step 6: Final answer
    x = 427.78

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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.