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Finding the Fourth Proportional to 307.44, 460.64 and 296.20

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Solution

The fourth proportional to 307.44, 460.64 and 296.20 is: 443.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.44 : 460.64 = 296.20 : x
  2. Step 2: Convert to fraction form
    307.44/460.64 = 296.20/x
  3. Step 3: Cross multiply
    307.44x = 460.64 × 296.20
  4. Step 4: Simplify right side
    307.44x = 136,441.57
  5. Step 5: Solve for x
    x = 136,441.57/307.44
  6. Step 6: Final answer
    x = 443.80

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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.