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Finding the Fourth Proportional to 446.90, 669.98 and 203.58

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Solution

The fourth proportional to 446.90, 669.98 and 203.58 is: 305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.90 : 669.98 = 203.58 : x
  2. Step 2: Convert to fraction form
    446.90/669.98 = 203.58/x
  3. Step 3: Cross multiply
    446.90x = 669.98 × 203.58
  4. Step 4: Simplify right side
    446.90x = 136,395.04
  5. Step 5: Solve for x
    x = 136,395.04/446.90
  6. Step 6: Final answer
    x = 305.21

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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.