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Finding the Fourth Proportional to 450.03, 620.72 and 310.20

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Solution

The fourth proportional to 450.03, 620.72 and 310.20 is: 427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.03 : 620.72 = 310.20 : x
  2. Step 2: Convert to fraction form
    450.03/620.72 = 310.20/x
  3. Step 3: Cross multiply
    450.03x = 620.72 × 310.20
  4. Step 4: Simplify right side
    450.03x = 192,547.34
  5. Step 5: Solve for x
    x = 192,547.34/450.03
  6. Step 6: Final answer
    x = 427.85

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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.