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Finding the Fourth Proportional to 453.84, 626.81 and 306.22

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Solution

The fourth proportional to 453.84, 626.81 and 306.22 is: 422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.84 : 626.81 = 306.22 : x
  2. Step 2: Convert to fraction form
    453.84/626.81 = 306.22/x
  3. Step 3: Cross multiply
    453.84x = 626.81 × 306.22
  4. Step 4: Simplify right side
    453.84x = 191,941.76
  5. Step 5: Solve for x
    x = 191,941.76/453.84
  6. Step 6: Final answer
    x = 422.93

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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.