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Finding the Fourth Proportional to 294, 405.78 and 206.52

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Solution

The fourth proportional to 294, 405.78 and 206.52 is: 285.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294 : 405.78 = 206.52 : x
  2. Step 2: Convert to fraction form
    294/405.78 = 206.52/x
  3. Step 3: Cross multiply
    294x = 405.78 × 206.52
  4. Step 4: Simplify right side
    294x = 83,801.69
  5. Step 5: Solve for x
    x = 83,801.69/294
  6. Step 6: Final answer
    x = 285.04

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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.