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Finding the Fourth Proportional to 304.79, 420.20 and 255.06

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Solution

The fourth proportional to 304.79, 420.20 and 255.06 is: 351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.79 : 420.20 = 255.06 : x
  2. Step 2: Convert to fraction form
    304.79/420.20 = 255.06/x
  3. Step 3: Cross multiply
    304.79x = 420.20 × 255.06
  4. Step 4: Simplify right side
    304.79x = 107,173.99
  5. Step 5: Solve for x
    x = 107,173.99/304.79
  6. Step 6: Final answer
    x = 351.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.