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Finding the Fourth Proportional to 466.59, 644.12 and 320.00

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Solution

The fourth proportional to 466.59, 644.12 and 320.00 is: 441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.59 : 644.12 = 320.00 : x
  2. Step 2: Convert to fraction form
    466.59/644.12 = 320.00/x
  3. Step 3: Cross multiply
    466.59x = 644.12 × 320.00
  4. Step 4: Simplify right side
    466.59x = 206,113.58
  5. Step 5: Solve for x
    x = 206,113.58/466.59
  6. Step 6: Final answer
    x = 441.74

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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.