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Finding the Fourth Proportional to 358.64, 493.82 and 270.25

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Solution

The fourth proportional to 358.64, 493.82 and 270.25 is: 372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.64 : 493.82 = 270.25 : x
  2. Step 2: Convert to fraction form
    358.64/493.82 = 270.25/x
  3. Step 3: Cross multiply
    358.64x = 493.82 × 270.25
  4. Step 4: Simplify right side
    358.64x = 133,454.86
  5. Step 5: Solve for x
    x = 133,454.86/358.64
  6. Step 6: Final answer
    x = 372.11

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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.