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Finding the Fourth Proportional to 304.76, 420.73 and 200.00

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Solution

The fourth proportional to 304.76, 420.73 and 200.00 is: 276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.76 : 420.73 = 200.00 : x
  2. Step 2: Convert to fraction form
    304.76/420.73 = 200.00/x
  3. Step 3: Cross multiply
    304.76x = 420.73 × 200.00
  4. Step 4: Simplify right side
    304.76x = 84,146.55
  5. Step 5: Solve for x
    x = 84,146.55/304.76
  6. Step 6: Final answer
    x = 276.11

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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.