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Finding the Fourth Proportional to 358.61, 493.90 and 309.47

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Solution

The fourth proportional to 358.61, 493.90 and 309.47 is: 426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.61 : 493.90 = 309.47 : x
  2. Step 2: Convert to fraction form
    358.61/493.90 = 309.47/x
  3. Step 3: Cross multiply
    358.61x = 493.90 × 309.47
  4. Step 4: Simplify right side
    358.61x = 152,843.99
  5. Step 5: Solve for x
    x = 152,843.99/358.61
  6. Step 6: Final answer
    x = 426.22

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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.