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Finding the Fourth Proportional to 380.01, 523.56 and 285.08

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Solution

The fourth proportional to 380.01, 523.56 and 285.08 is: 392.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.01 : 523.56 = 285.08 : x
  2. Step 2: Convert to fraction form
    380.01/523.56 = 285.08/x
  3. Step 3: Cross multiply
    380.01x = 523.56 × 285.08
  4. Step 4: Simplify right side
    380.01x = 149,256.90
  5. Step 5: Solve for x
    x = 149,256.90/380.01
  6. Step 6: Final answer
    x = 392.77

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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.