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Finding the Fourth Proportional to 298.06, 412.36 and 256.52

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Solution

The fourth proportional to 298.06, 412.36 and 256.52 is: 354.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.06 : 412.36 = 256.52 : x
  2. Step 2: Convert to fraction form
    298.06/412.36 = 256.52/x
  3. Step 3: Cross multiply
    298.06x = 412.36 × 256.52
  4. Step 4: Simplify right side
    298.06x = 105,778.59
  5. Step 5: Solve for x
    x = 105,778.59/298.06
  6. Step 6: Final answer
    x = 354.89

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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.