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Finding the Fourth Proportional to 381.17, 526.36 and 360.71

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Solution

The fourth proportional to 381.17, 526.36 and 360.71 is: 498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.17 : 526.36 = 360.71 : x
  2. Step 2: Convert to fraction form
    381.17/526.36 = 360.71/x
  3. Step 3: Cross multiply
    381.17x = 526.36 × 360.71
  4. Step 4: Simplify right side
    381.17x = 189,859.78
  5. Step 5: Solve for x
    x = 189,859.78/381.17
  6. Step 6: Final answer
    x = 498.10

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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.