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Finding the Fourth Proportional to 309.35, 464.05 and 153.32

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Solution

The fourth proportional to 309.35, 464.05 and 153.32 is: 229.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.35 : 464.05 = 153.32 : x
  2. Step 2: Convert to fraction form
    309.35/464.05 = 153.32/x
  3. Step 3: Cross multiply
    309.35x = 464.05 × 153.32
  4. Step 4: Simplify right side
    309.35x = 71,148.92
  5. Step 5: Solve for x
    x = 71,148.92/309.35
  6. Step 6: Final answer
    x = 229.99

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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.