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Finding the Fourth Proportional to 381.34, 525.36 and 315.64

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Solution

The fourth proportional to 381.34, 525.36 and 315.64 is: 434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.34 : 525.36 = 315.64 : x
  2. Step 2: Convert to fraction form
    381.34/525.36 = 315.64/x
  3. Step 3: Cross multiply
    381.34x = 525.36 × 315.64
  4. Step 4: Simplify right side
    381.34x = 165,824.63
  5. Step 5: Solve for x
    x = 165,824.63/381.34
  6. Step 6: Final answer
    x = 434.85

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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.