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Finding the Fourth Proportional to 307.72, 464.05 and 303.60

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Solution

The fourth proportional to 307.72, 464.05 and 303.60 is: 457.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.72 : 464.05 = 303.60 : x
  2. Step 2: Convert to fraction form
    307.72/464.05 = 303.60/x
  3. Step 3: Cross multiply
    307.72x = 464.05 × 303.60
  4. Step 4: Simplify right side
    307.72x = 140,884.82
  5. Step 5: Solve for x
    x = 140,884.82/307.72
  6. Step 6: Final answer
    x = 457.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.