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Finding the Fourth Proportional to 450.24, 620.74 and 310.10

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Solution

The fourth proportional to 450.24, 620.74 and 310.10 is: 427.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.24 : 620.74 = 310.10 : x
  2. Step 2: Convert to fraction form
    450.24/620.74 = 310.10/x
  3. Step 3: Cross multiply
    450.24x = 620.74 × 310.10
  4. Step 4: Simplify right side
    450.24x = 192,491.47
  5. Step 5: Solve for x
    x = 192,491.47/450.24
  6. Step 6: Final answer
    x = 427.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.