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Finding the Fourth Proportional to 304.99, 420.55 and 206.57

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Solution

The fourth proportional to 304.99, 420.55 and 206.57 is: 284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.99 : 420.55 = 206.57 : x
  2. Step 2: Convert to fraction form
    304.99/420.55 = 206.57/x
  3. Step 3: Cross multiply
    304.99x = 420.55 × 206.57
  4. Step 4: Simplify right side
    304.99x = 86,871.98
  5. Step 5: Solve for x
    x = 86,871.98/304.99
  6. Step 6: Final answer
    x = 284.84

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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.