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Finding the Fourth Proportional to 381.24, 524.95 and 325.85

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Solution

The fourth proportional to 381.24, 524.95 and 325.85 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 524.95 = 325.85 : x
  2. Step 2: Convert to fraction form
    381.24/524.95 = 325.85/x
  3. Step 3: Cross multiply
    381.24x = 524.95 × 325.85
  4. Step 4: Simplify right side
    381.24x = 171,051.52
  5. Step 5: Solve for x
    x = 171,051.52/381.24
  6. Step 6: Final answer
    x = 448.67

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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.