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Finding the Fourth Proportional to 458.72, 633.02 and 262.26

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Solution

The fourth proportional to 458.72, 633.02 and 262.26 is: 361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.72 : 633.02 = 262.26 : x
  2. Step 2: Convert to fraction form
    458.72/633.02 = 262.26/x
  3. Step 3: Cross multiply
    458.72x = 633.02 × 262.26
  4. Step 4: Simplify right side
    458.72x = 166,015.83
  5. Step 5: Solve for x
    x = 166,015.83/458.72
  6. Step 6: Final answer
    x = 361.91

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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.