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Finding the Fourth Proportional to 196.40, 302.78 and 196.40

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Solution

The fourth proportional to 196.40, 302.78 and 196.40 is: 302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 302.78 = 196.40 : x
  2. Step 2: Convert to fraction form
    196.40/302.78 = 196.40/x
  3. Step 3: Cross multiply
    196.40x = 302.78 × 196.40
  4. Step 4: Simplify right side
    196.40x = 59,465.99
  5. Step 5: Solve for x
    x = 59,465.99/196.40
  6. Step 6: Final answer
    x = 302.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.