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Finding the Fourth Proportional to 421.02, 633.76 and 300.12

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Solution

The fourth proportional to 421.02, 633.76 and 300.12 is: 451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.02 : 633.76 = 300.12 : x
  2. Step 2: Convert to fraction form
    421.02/633.76 = 300.12/x
  3. Step 3: Cross multiply
    421.02x = 633.76 × 300.12
  4. Step 4: Simplify right side
    421.02x = 190,204.05
  5. Step 5: Solve for x
    x = 190,204.05/421.02
  6. Step 6: Final answer
    x = 451.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.