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Finding the Fourth Proportional to 442.80, 662.85 and 364.50

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Solution

The fourth proportional to 442.80, 662.85 and 364.50 is: 545.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.80 : 662.85 = 364.50 : x
  2. Step 2: Convert to fraction form
    442.80/662.85 = 364.50/x
  3. Step 3: Cross multiply
    442.80x = 662.85 × 364.50
  4. Step 4: Simplify right side
    442.80x = 241,608.83
  5. Step 5: Solve for x
    x = 241,608.83/442.80
  6. Step 6: Final answer
    x = 545.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.