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Finding the Fourth Proportional to 445.95, 612.81 and 362.88

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Solution

The fourth proportional to 445.95, 612.81 and 362.88 is: 498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.95 : 612.81 = 362.88 : x
  2. Step 2: Convert to fraction form
    445.95/612.81 = 362.88/x
  3. Step 3: Cross multiply
    445.95x = 612.81 × 362.88
  4. Step 4: Simplify right side
    445.95x = 222,376.49
  5. Step 5: Solve for x
    x = 222,376.49/445.95
  6. Step 6: Final answer
    x = 498.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.