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Finding the Fourth Proportional to 388.42, 536.16 and 233.17

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Solution

The fourth proportional to 388.42, 536.16 and 233.17 is: 321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.42 : 536.16 = 233.17 : x
  2. Step 2: Convert to fraction form
    388.42/536.16 = 233.17/x
  3. Step 3: Cross multiply
    388.42x = 536.16 × 233.17
  4. Step 4: Simplify right side
    388.42x = 125,015.26
  5. Step 5: Solve for x
    x = 125,015.26/388.42
  6. Step 6: Final answer
    x = 321.86

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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.