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Finding the Fourth Proportional to 301, 451.18 and 192.76

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Solution

The fourth proportional to 301, 451.18 and 192.76 is: 288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 451.18 = 192.76 : x
  2. Step 2: Convert to fraction form
    301/451.18 = 192.76/x
  3. Step 3: Cross multiply
    301x = 451.18 × 192.76
  4. Step 4: Simplify right side
    301x = 86,969.46
  5. Step 5: Solve for x
    x = 86,969.46/301
  6. Step 6: Final answer
    x = 288.94

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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.