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Finding the Fourth Proportional to 378.15, 566.15 and 301.23

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Solution

The fourth proportional to 378.15, 566.15 and 301.23 is: 450.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.15 : 566.15 = 301.23 : x
  2. Step 2: Convert to fraction form
    378.15/566.15 = 301.23/x
  3. Step 3: Cross multiply
    378.15x = 566.15 × 301.23
  4. Step 4: Simplify right side
    378.15x = 170,541.36
  5. Step 5: Solve for x
    x = 170,541.36/378.15
  6. Step 6: Final answer
    x = 450.99

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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.