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Finding the Fourth Proportional to 446.90, 670.10 and 203.29

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Solution

The fourth proportional to 446.90, 670.10 and 203.29 is: 304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.90 : 670.10 = 203.29 : x
  2. Step 2: Convert to fraction form
    446.90/670.10 = 203.29/x
  3. Step 3: Cross multiply
    446.90x = 670.10 × 203.29
  4. Step 4: Simplify right side
    446.90x = 136,224.63
  5. Step 5: Solve for x
    x = 136,224.63/446.90
  6. Step 6: Final answer
    x = 304.82

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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.