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Finding the Fourth Proportional to 355.41, 491.49 and 311.67

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Solution

The fourth proportional to 355.41, 491.49 and 311.67 is: 431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.41 : 491.49 = 311.67 : x
  2. Step 2: Convert to fraction form
    355.41/491.49 = 311.67/x
  3. Step 3: Cross multiply
    355.41x = 491.49 × 311.67
  4. Step 4: Simplify right side
    355.41x = 153,182.69
  5. Step 5: Solve for x
    x = 153,182.69/355.41
  6. Step 6: Final answer
    x = 431.00

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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.