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Finding the Fourth Proportional to 410.42, 567.27 and 300.68

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Solution

The fourth proportional to 410.42, 567.27 and 300.68 is: 415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.42 : 567.27 = 300.68 : x
  2. Step 2: Convert to fraction form
    410.42/567.27 = 300.68/x
  3. Step 3: Cross multiply
    410.42x = 567.27 × 300.68
  4. Step 4: Simplify right side
    410.42x = 170,566.74
  5. Step 5: Solve for x
    x = 170,566.74/410.42
  6. Step 6: Final answer
    x = 415.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.