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Finding the Fourth Proportional to 418.87, 628.07 and 172.01

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Solution

The fourth proportional to 418.87, 628.07 and 172.01 is: 257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.87 : 628.07 = 172.01 : x
  2. Step 2: Convert to fraction form
    418.87/628.07 = 172.01/x
  3. Step 3: Cross multiply
    418.87x = 628.07 × 172.01
  4. Step 4: Simplify right side
    418.87x = 108,030.32
  5. Step 5: Solve for x
    x = 108,030.32/418.87
  6. Step 6: Final answer
    x = 257.91

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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.