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Finding the Fourth Proportional to 412.84, 569.54 and 257.56

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Solution

The fourth proportional to 412.84, 569.54 and 257.56 is: 355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 569.54 = 257.56 : x
  2. Step 2: Convert to fraction form
    412.84/569.54 = 257.56/x
  3. Step 3: Cross multiply
    412.84x = 569.54 × 257.56
  4. Step 4: Simplify right side
    412.84x = 146,690.72
  5. Step 5: Solve for x
    x = 146,690.72/412.84
  6. Step 6: Final answer
    x = 355.32

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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.