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Finding the Fourth Proportional to 309.22, 460.69 and 289.31

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Solution

The fourth proportional to 309.22, 460.69 and 289.31 is: 431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.22 : 460.69 = 289.31 : x
  2. Step 2: Convert to fraction form
    309.22/460.69 = 289.31/x
  3. Step 3: Cross multiply
    309.22x = 460.69 × 289.31
  4. Step 4: Simplify right side
    309.22x = 133,279.20
  5. Step 5: Solve for x
    x = 133,279.20/309.22
  6. Step 6: Final answer
    x = 431.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.