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Finding the Fourth Proportional to 309.87, 464.90 and 289.22

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Solution

The fourth proportional to 309.87, 464.90 and 289.22 is: 433.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.87 : 464.90 = 289.22 : x
  2. Step 2: Convert to fraction form
    309.87/464.90 = 289.22/x
  3. Step 3: Cross multiply
    309.87x = 464.90 × 289.22
  4. Step 4: Simplify right side
    309.87x = 134,454.61
  5. Step 5: Solve for x
    x = 134,454.61/309.87
  6. Step 6: Final answer
    x = 433.91

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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.