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Finding the Fourth Proportional to 366.44, 546.70 and 320.72

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Solution

The fourth proportional to 366.44, 546.70 and 320.72 is: 478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.44 : 546.70 = 320.72 : x
  2. Step 2: Convert to fraction form
    366.44/546.70 = 320.72/x
  3. Step 3: Cross multiply
    366.44x = 546.70 × 320.72
  4. Step 4: Simplify right side
    366.44x = 175,337.62
  5. Step 5: Solve for x
    x = 175,337.62/366.44
  6. Step 6: Final answer
    x = 478.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.