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Finding the Fourth Proportional to 305.28, 418.53 and 297.12

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Solution

The fourth proportional to 305.28, 418.53 and 297.12 is: 407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.28 : 418.53 = 297.12 : x
  2. Step 2: Convert to fraction form
    305.28/418.53 = 297.12/x
  3. Step 3: Cross multiply
    305.28x = 418.53 × 297.12
  4. Step 4: Simplify right side
    305.28x = 124,353.63
  5. Step 5: Solve for x
    x = 124,353.63/305.28
  6. Step 6: Final answer
    x = 407.34

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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.