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Finding the Fourth Proportional to 439.76, 605.93 and 315.23

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Solution

The fourth proportional to 439.76, 605.93 and 315.23 is: 434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.76 : 605.93 = 315.23 : x
  2. Step 2: Convert to fraction form
    439.76/605.93 = 315.23/x
  3. Step 3: Cross multiply
    439.76x = 605.93 × 315.23
  4. Step 4: Simplify right side
    439.76x = 191,002.71
  5. Step 5: Solve for x
    x = 191,002.71/439.76
  6. Step 6: Final answer
    x = 434.34

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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.