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Finding the Fourth Proportional to 381.93, 526.73 and 283.92

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Solution

The fourth proportional to 381.93, 526.73 and 283.92 is: 391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.93 : 526.73 = 283.92 : x
  2. Step 2: Convert to fraction form
    381.93/526.73 = 283.92/x
  3. Step 3: Cross multiply
    381.93x = 526.73 × 283.92
  4. Step 4: Simplify right side
    381.93x = 149,549.18
  5. Step 5: Solve for x
    x = 149,549.18/381.93
  6. Step 6: Final answer
    x = 391.56

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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.