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Finding the Fourth Proportional to 381.71, 525.76 and 311.65

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Solution

The fourth proportional to 381.71, 525.76 and 311.65 is: 429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.71 : 525.76 = 311.65 : x
  2. Step 2: Convert to fraction form
    381.71/525.76 = 311.65/x
  3. Step 3: Cross multiply
    381.71x = 525.76 × 311.65
  4. Step 4: Simplify right side
    381.71x = 163,851.01
  5. Step 5: Solve for x
    x = 163,851.01/381.71
  6. Step 6: Final answer
    x = 429.25

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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.