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Finding the Fourth Proportional to 439.06, 657.73 and 256.07

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Solution

The fourth proportional to 439.06, 657.73 and 256.07 is: 383.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.06 : 657.73 = 256.07 : x
  2. Step 2: Convert to fraction form
    439.06/657.73 = 256.07/x
  3. Step 3: Cross multiply
    439.06x = 657.73 × 256.07
  4. Step 4: Simplify right side
    439.06x = 168,420.35
  5. Step 5: Solve for x
    x = 168,420.35/439.06
  6. Step 6: Final answer
    x = 383.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.