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Finding the Fourth Proportional to 307.83, 458.79 and 305.28

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Solution

The fourth proportional to 307.83, 458.79 and 305.28 is: 454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.83 : 458.79 = 305.28 : x
  2. Step 2: Convert to fraction form
    307.83/458.79 = 305.28/x
  3. Step 3: Cross multiply
    307.83x = 458.79 × 305.28
  4. Step 4: Simplify right side
    307.83x = 140,059.41
  5. Step 5: Solve for x
    x = 140,059.41/307.83
  6. Step 6: Final answer
    x = 454.99

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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.