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Finding the Fourth Proportional to 381.42, 571.74 and 316.03

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Solution

The fourth proportional to 381.42, 571.74 and 316.03 is: 473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.42 : 571.74 = 316.03 : x
  2. Step 2: Convert to fraction form
    381.42/571.74 = 316.03/x
  3. Step 3: Cross multiply
    381.42x = 571.74 × 316.03
  4. Step 4: Simplify right side
    381.42x = 180,686.99
  5. Step 5: Solve for x
    x = 180,686.99/381.42
  6. Step 6: Final answer
    x = 473.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.