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Finding the Fourth Proportional to 358.23, 493.92 and 259.95

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Solution

The fourth proportional to 358.23, 493.92 and 259.95 is: 358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.23 : 493.92 = 259.95 : x
  2. Step 2: Convert to fraction form
    358.23/493.92 = 259.95/x
  3. Step 3: Cross multiply
    358.23x = 493.92 × 259.95
  4. Step 4: Simplify right side
    358.23x = 128,394.50
  5. Step 5: Solve for x
    x = 128,394.50/358.23
  6. Step 6: Final answer
    x = 358.41

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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.