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Finding the Fourth Proportional to 388.56, 536.24 and 231.24

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Solution

The fourth proportional to 388.56, 536.24 and 231.24 is: 319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.56 : 536.24 = 231.24 : x
  2. Step 2: Convert to fraction form
    388.56/536.24 = 231.24/x
  3. Step 3: Cross multiply
    388.56x = 536.24 × 231.24
  4. Step 4: Simplify right side
    388.56x = 124,000.72
  5. Step 5: Solve for x
    x = 124,000.72/388.56
  6. Step 6: Final answer
    x = 319.13

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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.