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Finding the Fourth Proportional to 307.22, 457.72 and 291.73

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Solution

The fourth proportional to 307.22, 457.72 and 291.73 is: 434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.22 : 457.72 = 291.73 : x
  2. Step 2: Convert to fraction form
    307.22/457.72 = 291.73/x
  3. Step 3: Cross multiply
    307.22x = 457.72 × 291.73
  4. Step 4: Simplify right side
    307.22x = 133,531.38
  5. Step 5: Solve for x
    x = 133,531.38/307.22
  6. Step 6: Final answer
    x = 434.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.