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Finding the Fourth Proportional to 304.55, 420.35 and 206.40

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Solution

The fourth proportional to 304.55, 420.35 and 206.40 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.55 : 420.35 = 206.40 : x
  2. Step 2: Convert to fraction form
    304.55/420.35 = 206.40/x
  3. Step 3: Cross multiply
    304.55x = 420.35 × 206.40
  4. Step 4: Simplify right side
    304.55x = 86,760.24
  5. Step 5: Solve for x
    x = 86,760.24/304.55
  6. Step 6: Final answer
    x = 284.88

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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.