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Finding the Fourth Proportional to 358.12, 493.94 and 233.64

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Solution

The fourth proportional to 358.12, 493.94 and 233.64 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.12 : 493.94 = 233.64 : x
  2. Step 2: Convert to fraction form
    358.12/493.94 = 233.64/x
  3. Step 3: Cross multiply
    358.12x = 493.94 × 233.64
  4. Step 4: Simplify right side
    358.12x = 115,404.14
  5. Step 5: Solve for x
    x = 115,404.14/358.12
  6. Step 6: Final answer
    x = 322.25

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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.