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Finding the Fourth Proportional to 240.50, 359.88 and 205.82

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Solution

The fourth proportional to 240.50, 359.88 and 205.82 is: 307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.50 : 359.88 = 205.82 : x
  2. Step 2: Convert to fraction form
    240.50/359.88 = 205.82/x
  3. Step 3: Cross multiply
    240.50x = 359.88 × 205.82
  4. Step 4: Simplify right side
    240.50x = 74,070.50
  5. Step 5: Solve for x
    x = 74,070.50/240.50
  6. Step 6: Final answer
    x = 307.99

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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.