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Finding the Fourth Proportional to 446.06, 670.07 and 292.23

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Solution

The fourth proportional to 446.06, 670.07 and 292.23 is: 438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.06 : 670.07 = 292.23 : x
  2. Step 2: Convert to fraction form
    446.06/670.07 = 292.23/x
  3. Step 3: Cross multiply
    446.06x = 670.07 × 292.23
  4. Step 4: Simplify right side
    446.06x = 195,815.29
  5. Step 5: Solve for x
    x = 195,815.29/446.06
  6. Step 6: Final answer
    x = 438.99

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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.