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Finding the Fourth Proportional to 412.80, 618.69 and 193.13

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Solution

The fourth proportional to 412.80, 618.69 and 193.13 is: 289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.80 : 618.69 = 193.13 : x
  2. Step 2: Convert to fraction form
    412.80/618.69 = 193.13/x
  3. Step 3: Cross multiply
    412.80x = 618.69 × 193.13
  4. Step 4: Simplify right side
    412.80x = 119,484.51
  5. Step 5: Solve for x
    x = 119,484.51/412.80
  6. Step 6: Final answer
    x = 289.45

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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.