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Finding the Fourth Proportional to 272.60, 407.40 and 214.12

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Solution

The fourth proportional to 272.60, 407.40 and 214.12 is: 320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.60 : 407.40 = 214.12 : x
  2. Step 2: Convert to fraction form
    272.60/407.40 = 214.12/x
  3. Step 3: Cross multiply
    272.60x = 407.40 × 214.12
  4. Step 4: Simplify right side
    272.60x = 87,232.49
  5. Step 5: Solve for x
    x = 87,232.49/272.60
  6. Step 6: Final answer
    x = 320.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.