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Finding the Fourth Proportional to 270.49, 373.61 and 218.09

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Solution

The fourth proportional to 270.49, 373.61 and 218.09 is: 301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.49 : 373.61 = 218.09 : x
  2. Step 2: Convert to fraction form
    270.49/373.61 = 218.09/x
  3. Step 3: Cross multiply
    270.49x = 373.61 × 218.09
  4. Step 4: Simplify right side
    270.49x = 81,482.08
  5. Step 5: Solve for x
    x = 81,482.08/270.49
  6. Step 6: Final answer
    x = 301.24

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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.