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Finding the Fourth Proportional to 388.76, 536.22 and 342.09

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Solution

The fourth proportional to 388.76, 536.22 and 342.09 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.76 : 536.22 = 342.09 : x
  2. Step 2: Convert to fraction form
    388.76/536.22 = 342.09/x
  3. Step 3: Cross multiply
    388.76x = 536.22 × 342.09
  4. Step 4: Simplify right side
    388.76x = 183,435.50
  5. Step 5: Solve for x
    x = 183,435.50/388.76
  6. Step 6: Final answer
    x = 471.85

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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.