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Finding the Fourth Proportional to 303.30, 417.29 and 272.25

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Solution

The fourth proportional to 303.30, 417.29 and 272.25 is: 374.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.30 : 417.29 = 272.25 : x
  2. Step 2: Convert to fraction form
    303.30/417.29 = 272.25/x
  3. Step 3: Cross multiply
    303.30x = 417.29 × 272.25
  4. Step 4: Simplify right side
    303.30x = 113,605.84
  5. Step 5: Solve for x
    x = 113,605.84/303.30
  6. Step 6: Final answer
    x = 374.57

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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.