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Finding the Fourth Proportional to 381.77, 526.75 and 257.66

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Solution

The fourth proportional to 381.77, 526.75 and 257.66 is: 355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.77 : 526.75 = 257.66 : x
  2. Step 2: Convert to fraction form
    381.77/526.75 = 257.66/x
  3. Step 3: Cross multiply
    381.77x = 526.75 × 257.66
  4. Step 4: Simplify right side
    381.77x = 135,719.13
  5. Step 5: Solve for x
    x = 135,719.13/381.77
  6. Step 6: Final answer
    x = 355.50

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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.