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Finding the Fourth Proportional to 309.53, 463.89 and 231.88

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Solution

The fourth proportional to 309.53, 463.89 and 231.88 is: 347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.53 : 463.89 = 231.88 : x
  2. Step 2: Convert to fraction form
    309.53/463.89 = 231.88/x
  3. Step 3: Cross multiply
    309.53x = 463.89 × 231.88
  4. Step 4: Simplify right side
    309.53x = 107,566.81
  5. Step 5: Solve for x
    x = 107,566.81/309.53
  6. Step 6: Final answer
    x = 347.52

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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.