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Finding the Fourth Proportional to 301.02, 450.81 and 172.50

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Solution

The fourth proportional to 301.02, 450.81 and 172.50 is: 258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.02 : 450.81 = 172.50 : x
  2. Step 2: Convert to fraction form
    301.02/450.81 = 172.50/x
  3. Step 3: Cross multiply
    301.02x = 450.81 × 172.50
  4. Step 4: Simplify right side
    301.02x = 77,764.73
  5. Step 5: Solve for x
    x = 77,764.73/301.02
  6. Step 6: Final answer
    x = 258.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.