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Finding the Fourth Proportional to 301.70, 416.12 and 191.06

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Solution

The fourth proportional to 301.70, 416.12 and 191.06 is: 263.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.70 : 416.12 = 191.06 : x
  2. Step 2: Convert to fraction form
    301.70/416.12 = 191.06/x
  3. Step 3: Cross multiply
    301.70x = 416.12 × 191.06
  4. Step 4: Simplify right side
    301.70x = 79,503.89
  5. Step 5: Solve for x
    x = 79,503.89/301.70
  6. Step 6: Final answer
    x = 263.52

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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.