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Finding the Fourth Proportional to 303, 418.16 and 186.50

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Solution

The fourth proportional to 303, 418.16 and 186.50 is: 257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    303 : 418.16 = 186.50 : x
  2. Step 2: Convert to fraction form
    303/418.16 = 186.50/x
  3. Step 3: Cross multiply
    303x = 418.16 × 186.50
  4. Step 4: Simplify right side
    303x = 77,986.84
  5. Step 5: Solve for x
    x = 77,986.84/303
  6. Step 6: Final answer
    x = 257.38

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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.