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Finding the Fourth Proportional to 307.53, 460.90 and 268.83

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Solution

The fourth proportional to 307.53, 460.90 and 268.83 is: 402.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.53 : 460.90 = 268.83 : x
  2. Step 2: Convert to fraction form
    307.53/460.90 = 268.83/x
  3. Step 3: Cross multiply
    307.53x = 460.90 × 268.83
  4. Step 4: Simplify right side
    307.53x = 123,903.75
  5. Step 5: Solve for x
    x = 123,903.75/307.53
  6. Step 6: Final answer
    x = 402.90

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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.