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Finding the Fourth Proportional to 336.51, 464.13 and 231.62

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Solution

The fourth proportional to 336.51, 464.13 and 231.62 is: 319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.51 : 464.13 = 231.62 : x
  2. Step 2: Convert to fraction form
    336.51/464.13 = 231.62/x
  3. Step 3: Cross multiply
    336.51x = 464.13 × 231.62
  4. Step 4: Simplify right side
    336.51x = 107,499.47
  5. Step 5: Solve for x
    x = 107,499.47/336.51
  6. Step 6: Final answer
    x = 319.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.