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Finding the Fourth Proportional to 412.84, 569.76 and 273.08

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Solution

The fourth proportional to 412.84, 569.76 and 273.08 is: 376.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 569.76 = 273.08 : x
  2. Step 2: Convert to fraction form
    412.84/569.76 = 273.08/x
  3. Step 3: Cross multiply
    412.84x = 569.76 × 273.08
  4. Step 4: Simplify right side
    412.84x = 155,590.06
  5. Step 5: Solve for x
    x = 155,590.06/412.84
  6. Step 6: Final answer
    x = 376.88

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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.