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Finding the Fourth Proportional to 302.21, 416.60 and 213.40

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Solution

The fourth proportional to 302.21, 416.60 and 213.40 is: 294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.21 : 416.60 = 213.40 : x
  2. Step 2: Convert to fraction form
    302.21/416.60 = 213.40/x
  3. Step 3: Cross multiply
    302.21x = 416.60 × 213.40
  4. Step 4: Simplify right side
    302.21x = 88,903.09
  5. Step 5: Solve for x
    x = 88,903.09/302.21
  6. Step 6: Final answer
    x = 294.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.