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Finding the Fourth Proportional to 301, 451.74 and 172.84

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Solution

The fourth proportional to 301, 451.74 and 172.84 is: 259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    301 : 451.74 = 172.84 : x
  2. Step 2: Convert to fraction form
    301/451.74 = 172.84/x
  3. Step 3: Cross multiply
    301x = 451.74 × 172.84
  4. Step 4: Simplify right side
    301x = 78,078.74
  5. Step 5: Solve for x
    x = 78,078.74/301
  6. Step 6: Final answer
    x = 259.40

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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.