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Finding the Fourth Proportional to 458.85, 633.42 and 301.49

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Solution

The fourth proportional to 458.85, 633.42 and 301.49 is: 416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.85 : 633.42 = 301.49 : x
  2. Step 2: Convert to fraction form
    458.85/633.42 = 301.49/x
  3. Step 3: Cross multiply
    458.85x = 633.42 × 301.49
  4. Step 4: Simplify right side
    458.85x = 190,969.00
  5. Step 5: Solve for x
    x = 190,969.00/458.85
  6. Step 6: Final answer
    x = 416.19

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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.