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Finding the Fourth Proportional to 273.59, 412.40 and 257.72

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Solution

The fourth proportional to 273.59, 412.40 and 257.72 is: 388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.59 : 412.40 = 257.72 : x
  2. Step 2: Convert to fraction form
    273.59/412.40 = 257.72/x
  3. Step 3: Cross multiply
    273.59x = 412.40 × 257.72
  4. Step 4: Simplify right side
    273.59x = 106,283.11
  5. Step 5: Solve for x
    x = 106,283.11/273.59
  6. Step 6: Final answer
    x = 388.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.