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Finding the Fourth Proportional to 444.72, 612.88 and 320.17

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Solution

The fourth proportional to 444.72, 612.88 and 320.17 is: 441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.72 : 612.88 = 320.17 : x
  2. Step 2: Convert to fraction form
    444.72/612.88 = 320.17/x
  3. Step 3: Cross multiply
    444.72x = 612.88 × 320.17
  4. Step 4: Simplify right side
    444.72x = 196,225.79
  5. Step 5: Solve for x
    x = 196,225.79/444.72
  6. Step 6: Final answer
    x = 441.23

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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.