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Finding the Fourth Proportional to 388.78, 536.43 and 283.92

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Solution

The fourth proportional to 388.78, 536.43 and 283.92 is: 391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.78 : 536.43 = 283.92 : x
  2. Step 2: Convert to fraction form
    388.78/536.43 = 283.92/x
  3. Step 3: Cross multiply
    388.78x = 536.43 × 283.92
  4. Step 4: Simplify right side
    388.78x = 152,303.21
  5. Step 5: Solve for x
    x = 152,303.21/388.78
  6. Step 6: Final answer
    x = 391.75

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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.