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Finding the Fourth Proportional to 412.78, 569.64 and 257.50

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Solution

The fourth proportional to 412.78, 569.64 and 257.50 is: 355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.78 : 569.64 = 257.50 : x
  2. Step 2: Convert to fraction form
    412.78/569.64 = 257.50/x
  3. Step 3: Cross multiply
    412.78x = 569.64 × 257.50
  4. Step 4: Simplify right side
    412.78x = 146,682.30
  5. Step 5: Solve for x
    x = 146,682.30/412.78
  6. Step 6: Final answer
    x = 355.35

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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.