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Finding the Fourth Proportional to 482.45, 666.05 and 295.98

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Solution

The fourth proportional to 482.45, 666.05 and 295.98 is: 408.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.45 : 666.05 = 295.98 : x
  2. Step 2: Convert to fraction form
    482.45/666.05 = 295.98/x
  3. Step 3: Cross multiply
    482.45x = 666.05 × 295.98
  4. Step 4: Simplify right side
    482.45x = 197,137.48
  5. Step 5: Solve for x
    x = 197,137.48/482.45
  6. Step 6: Final answer
    x = 408.62

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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.