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Finding the Fourth Proportional to 446.04, 668.96 and 214.79

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Solution

The fourth proportional to 446.04, 668.96 and 214.79 is: 322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.04 : 668.96 = 214.79 : x
  2. Step 2: Convert to fraction form
    446.04/668.96 = 214.79/x
  3. Step 3: Cross multiply
    446.04x = 668.96 × 214.79
  4. Step 4: Simplify right side
    446.04x = 143,681.50
  5. Step 5: Solve for x
    x = 143,681.50/446.04
  6. Step 6: Final answer
    x = 322.13

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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.