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Finding the Fourth Proportional to 301.37, 412.99 and 272.21

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Solution

The fourth proportional to 301.37, 412.99 and 272.21 is: 373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.37 : 412.99 = 272.21 : x
  2. Step 2: Convert to fraction form
    301.37/412.99 = 272.21/x
  3. Step 3: Cross multiply
    301.37x = 412.99 × 272.21
  4. Step 4: Simplify right side
    301.37x = 112,417.26
  5. Step 5: Solve for x
    x = 112,417.26/301.37
  6. Step 6: Final answer
    x = 373.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.