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Finding the Fourth Proportional to 443.56, 662.80 and 305.51

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Solution

The fourth proportional to 443.56, 662.80 and 305.51 is: 456.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.56 : 662.80 = 305.51 : x
  2. Step 2: Convert to fraction form
    443.56/662.80 = 305.51/x
  3. Step 3: Cross multiply
    443.56x = 662.80 × 305.51
  4. Step 4: Simplify right side
    443.56x = 202,492.03
  5. Step 5: Solve for x
    x = 202,492.03/443.56
  6. Step 6: Final answer
    x = 456.52

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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.