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Finding the Fourth Proportional to 309.85, 464.80 and 153.82

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Solution

The fourth proportional to 309.85, 464.80 and 153.82 is: 230.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.85 : 464.80 = 153.82 : x
  2. Step 2: Convert to fraction form
    309.85/464.80 = 153.82/x
  3. Step 3: Cross multiply
    309.85x = 464.80 × 153.82
  4. Step 4: Simplify right side
    309.85x = 71,495.54
  5. Step 5: Solve for x
    x = 71,495.54/309.85
  6. Step 6: Final answer
    x = 230.74

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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.