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Finding the Fourth Proportional to 381.36, 526.64 and 257.12

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Solution

The fourth proportional to 381.36, 526.64 and 257.12 is: 355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.36 : 526.64 = 257.12 : x
  2. Step 2: Convert to fraction form
    381.36/526.64 = 257.12/x
  3. Step 3: Cross multiply
    381.36x = 526.64 × 257.12
  4. Step 4: Simplify right side
    381.36x = 135,409.68
  5. Step 5: Solve for x
    x = 135,409.68/381.36
  6. Step 6: Final answer
    x = 355.07

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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.