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Finding the Fourth Proportional to 412.60, 618.78 and 169

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Solution

The fourth proportional to 412.60, 618.78 and 169 is: 253.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.60 : 618.78 = 169 : x
  2. Step 2: Convert to fraction form
    412.60/618.78 = 169/x
  3. Step 3: Cross multiply
    412.60x = 618.78 × 169
  4. Step 4: Simplify right side
    412.60x = 104,573.82
  5. Step 5: Solve for x
    x = 104,573.82/412.60
  6. Step 6: Final answer
    x = 253.45

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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.