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Finding the Fourth Proportional to 412.37, 568.51 and 301.74

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Solution

The fourth proportional to 412.37, 568.51 and 301.74 is: 415.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.37 : 568.51 = 301.74 : x
  2. Step 2: Convert to fraction form
    412.37/568.51 = 301.74/x
  3. Step 3: Cross multiply
    412.37x = 568.51 × 301.74
  4. Step 4: Simplify right side
    412.37x = 171,542.21
  5. Step 5: Solve for x
    x = 171,542.21/412.37
  6. Step 6: Final answer
    x = 415.99

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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.