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Finding the Fourth Proportional to 302.98, 418.25 and 190.98

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Solution

The fourth proportional to 302.98, 418.25 and 190.98 is: 263.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.98 : 418.25 = 190.98 : x
  2. Step 2: Convert to fraction form
    302.98/418.25 = 190.98/x
  3. Step 3: Cross multiply
    302.98x = 418.25 × 190.98
  4. Step 4: Simplify right side
    302.98x = 79,877.39
  5. Step 5: Solve for x
    x = 79,877.39/302.98
  6. Step 6: Final answer
    x = 263.64

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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.