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Finding the Fourth Proportional to 381.66, 526.91 and 303.09

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Solution

The fourth proportional to 381.66, 526.91 and 303.09 is: 418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.66 : 526.91 = 303.09 : x
  2. Step 2: Convert to fraction form
    381.66/526.91 = 303.09/x
  3. Step 3: Cross multiply
    381.66x = 526.91 × 303.09
  4. Step 4: Simplify right side
    381.66x = 159,699.64
  5. Step 5: Solve for x
    x = 159,699.64/381.66
  6. Step 6: Final answer
    x = 418.43

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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.