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Finding the Fourth Proportional to 302.09, 416.70 and 197.15

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Solution

The fourth proportional to 302.09, 416.70 and 197.15 is: 271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.09 : 416.70 = 197.15 : x
  2. Step 2: Convert to fraction form
    302.09/416.70 = 197.15/x
  3. Step 3: Cross multiply
    302.09x = 416.70 × 197.15
  4. Step 4: Simplify right side
    302.09x = 82,150.32
  5. Step 5: Solve for x
    x = 82,150.32/302.09
  6. Step 6: Final answer
    x = 271.94

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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.