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Finding the Fourth Proportional to 410.67, 566.73 and 300.33

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Solution

The fourth proportional to 410.67, 566.73 and 300.33 is: 414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.67 : 566.73 = 300.33 : x
  2. Step 2: Convert to fraction form
    410.67/566.73 = 300.33/x
  3. Step 3: Cross multiply
    410.67x = 566.73 × 300.33
  4. Step 4: Simplify right side
    410.67x = 170,206.02
  5. Step 5: Solve for x
    x = 170,206.02/410.67
  6. Step 6: Final answer
    x = 414.46

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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.