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Finding the Fourth Proportional to 381.80, 526.90 and 216.06

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Solution

The fourth proportional to 381.80, 526.90 and 216.06 is: 298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 526.90 = 216.06 : x
  2. Step 2: Convert to fraction form
    381.80/526.90 = 216.06/x
  3. Step 3: Cross multiply
    381.80x = 526.90 × 216.06
  4. Step 4: Simplify right side
    381.80x = 113,842.01
  5. Step 5: Solve for x
    x = 113,842.01/381.80
  6. Step 6: Final answer
    x = 298.17

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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.