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Finding the Fourth Proportional to 366.35, 505.80 and 287.98

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Solution

The fourth proportional to 366.35, 505.80 and 287.98 is: 397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.35 : 505.80 = 287.98 : x
  2. Step 2: Convert to fraction form
    366.35/505.80 = 287.98/x
  3. Step 3: Cross multiply
    366.35x = 505.80 × 287.98
  4. Step 4: Simplify right side
    366.35x = 145,659.02
  5. Step 5: Solve for x
    x = 145,659.02/366.35
  6. Step 6: Final answer
    x = 397.60

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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.