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Finding the Fourth Proportional to 446.42, 669.45 and 172.36

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Solution

The fourth proportional to 446.42, 669.45 and 172.36 is: 258.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.42 : 669.45 = 172.36 : x
  2. Step 2: Convert to fraction form
    446.42/669.45 = 172.36/x
  3. Step 3: Cross multiply
    446.42x = 669.45 × 172.36
  4. Step 4: Simplify right side
    446.42x = 115,386.40
  5. Step 5: Solve for x
    x = 115,386.40/446.42
  6. Step 6: Final answer
    x = 258.47

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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.