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Finding the Fourth Proportional to 378.09, 569.34 and 270.63

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Solution

The fourth proportional to 378.09, 569.34 and 270.63 is: 407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 569.34 = 270.63 : x
  2. Step 2: Convert to fraction form
    378.09/569.34 = 270.63/x
  3. Step 3: Cross multiply
    378.09x = 569.34 × 270.63
  4. Step 4: Simplify right side
    378.09x = 154,080.48
  5. Step 5: Solve for x
    x = 154,080.48/378.09
  6. Step 6: Final answer
    x = 407.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.