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Finding the Fourth Proportional to 388.47, 536.08 and 233.22

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Solution

The fourth proportional to 388.47, 536.08 and 233.22 is: 321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.47 : 536.08 = 233.22 : x
  2. Step 2: Convert to fraction form
    388.47/536.08 = 233.22/x
  3. Step 3: Cross multiply
    388.47x = 536.08 × 233.22
  4. Step 4: Simplify right side
    388.47x = 125,024.58
  5. Step 5: Solve for x
    x = 125,024.58/388.47
  6. Step 6: Final answer
    x = 321.84

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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.