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Finding the Fourth Proportional to 273.23, 407.29 and 264.23

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Solution

The fourth proportional to 273.23, 407.29 and 264.23 is: 393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.23 : 407.29 = 264.23 : x
  2. Step 2: Convert to fraction form
    273.23/407.29 = 264.23/x
  3. Step 3: Cross multiply
    273.23x = 407.29 × 264.23
  4. Step 4: Simplify right side
    273.23x = 107,618.24
  5. Step 5: Solve for x
    x = 107,618.24/273.23
  6. Step 6: Final answer
    x = 393.87

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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.