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Finding the Fourth Proportional to 273.32, 407.43 and 257.64

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Solution

The fourth proportional to 273.32, 407.43 and 257.64 is: 384.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.32 : 407.43 = 257.64 : x
  2. Step 2: Convert to fraction form
    273.32/407.43 = 257.64/x
  3. Step 3: Cross multiply
    273.32x = 407.43 × 257.64
  4. Step 4: Simplify right side
    273.32x = 104,970.27
  5. Step 5: Solve for x
    x = 104,970.27/273.32
  6. Step 6: Final answer
    x = 384.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.