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Finding the Fourth Proportional to 444.85, 613.25 and 313.45

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Solution

The fourth proportional to 444.85, 613.25 and 313.45 is: 432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.85 : 613.25 = 313.45 : x
  2. Step 2: Convert to fraction form
    444.85/613.25 = 313.45/x
  3. Step 3: Cross multiply
    444.85x = 613.25 × 313.45
  4. Step 4: Simplify right side
    444.85x = 192,223.21
  5. Step 5: Solve for x
    x = 192,223.21/444.85
  6. Step 6: Final answer
    x = 432.11

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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.