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Finding the Fourth Proportional to 309.87, 464.89 and 93.45

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Solution

The fourth proportional to 309.87, 464.89 and 93.45 is: 140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.87 : 464.89 = 93.45 : x
  2. Step 2: Convert to fraction form
    309.87/464.89 = 93.45/x
  3. Step 3: Cross multiply
    309.87x = 464.89 × 93.45
  4. Step 4: Simplify right side
    309.87x = 43,444.09
  5. Step 5: Solve for x
    x = 43,444.09/309.87
  6. Step 6: Final answer
    x = 140.20

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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.