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Finding the Fourth Proportional to 412.79, 569.53 and 255.55

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Solution

The fourth proportional to 412.79, 569.53 and 255.55 is: 352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.79 : 569.53 = 255.55 : x
  2. Step 2: Convert to fraction form
    412.79/569.53 = 255.55/x
  3. Step 3: Cross multiply
    412.79x = 569.53 × 255.55
  4. Step 4: Simplify right side
    412.79x = 145,541.33
  5. Step 5: Solve for x
    x = 145,541.33/412.79
  6. Step 6: Final answer
    x = 352.58

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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.