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Finding the Fourth Proportional to 302.84, 453.60 and 194.36

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Solution

The fourth proportional to 302.84, 453.60 and 194.36 is: 291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.84 : 453.60 = 194.36 : x
  2. Step 2: Convert to fraction form
    302.84/453.60 = 194.36/x
  3. Step 3: Cross multiply
    302.84x = 453.60 × 194.36
  4. Step 4: Simplify right side
    302.84x = 88,161.70
  5. Step 5: Solve for x
    x = 88,161.70/302.84
  6. Step 6: Final answer
    x = 291.12

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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.