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Finding the Fourth Proportional to 307.32, 460.56 and 122.24

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Solution

The fourth proportional to 307.32, 460.56 and 122.24 is: 183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.32 : 460.56 = 122.24 : x
  2. Step 2: Convert to fraction form
    307.32/460.56 = 122.24/x
  3. Step 3: Cross multiply
    307.32x = 460.56 × 122.24
  4. Step 4: Simplify right side
    307.32x = 56,298.85
  5. Step 5: Solve for x
    x = 56,298.85/307.32
  6. Step 6: Final answer
    x = 183.19

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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.