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Finding the Fourth Proportional to 381.42, 525.42 and 283.14

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Solution

The fourth proportional to 381.42, 525.42 and 283.14 is: 390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.42 : 525.42 = 283.14 : x
  2. Step 2: Convert to fraction form
    381.42/525.42 = 283.14/x
  3. Step 3: Cross multiply
    381.42x = 525.42 × 283.14
  4. Step 4: Simplify right side
    381.42x = 148,767.42
  5. Step 5: Solve for x
    x = 148,767.42/381.42
  6. Step 6: Final answer
    x = 390.04

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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.