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Finding the Fourth Proportional to 319.24, 440.73 and 256.06

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Solution

The fourth proportional to 319.24, 440.73 and 256.06 is: 353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 440.73 = 256.06 : x
  2. Step 2: Convert to fraction form
    319.24/440.73 = 256.06/x
  3. Step 3: Cross multiply
    319.24x = 440.73 × 256.06
  4. Step 4: Simplify right side
    319.24x = 112,849.84
  5. Step 5: Solve for x
    x = 112,849.84/319.24
  6. Step 6: Final answer
    x = 353.50

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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.