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Finding the Fourth Proportional to 453.98, 625.74 and 306.36

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Solution

The fourth proportional to 453.98, 625.74 and 306.36 is: 422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.98 : 625.74 = 306.36 : x
  2. Step 2: Convert to fraction form
    453.98/625.74 = 306.36/x
  3. Step 3: Cross multiply
    453.98x = 625.74 × 306.36
  4. Step 4: Simplify right side
    453.98x = 191,701.71
  5. Step 5: Solve for x
    x = 191,701.71/453.98
  6. Step 6: Final answer
    x = 422.27

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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.