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Finding the Fourth Proportional to 355.28, 491.55 and 289.67

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Solution

The fourth proportional to 355.28, 491.55 and 289.67 is: 400.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.28 : 491.55 = 289.67 : x
  2. Step 2: Convert to fraction form
    355.28/491.55 = 289.67/x
  3. Step 3: Cross multiply
    355.28x = 491.55 × 289.67
  4. Step 4: Simplify right side
    355.28x = 142,387.29
  5. Step 5: Solve for x
    x = 142,387.29/355.28
  6. Step 6: Final answer
    x = 400.77

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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.