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Finding the Fourth Proportional to 310.19, 464.52 and 164.07

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Solution

The fourth proportional to 310.19, 464.52 and 164.07 is: 245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.19 : 464.52 = 164.07 : x
  2. Step 2: Convert to fraction form
    310.19/464.52 = 164.07/x
  3. Step 3: Cross multiply
    310.19x = 464.52 × 164.07
  4. Step 4: Simplify right side
    310.19x = 76,214.14
  5. Step 5: Solve for x
    x = 76,214.14/310.19
  6. Step 6: Final answer
    x = 245.70

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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.