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Finding the Fourth Proportional to 381.59, 526.79 and 302.83

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Solution

The fourth proportional to 381.59, 526.79 and 302.83 is: 418.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.59 : 526.79 = 302.83 : x
  2. Step 2: Convert to fraction form
    381.59/526.79 = 302.83/x
  3. Step 3: Cross multiply
    381.59x = 526.79 × 302.83
  4. Step 4: Simplify right side
    381.59x = 159,527.82
  5. Step 5: Solve for x
    x = 159,527.82/381.59
  6. Step 6: Final answer
    x = 418.06

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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.