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Finding the Fourth Proportional to 437.78, 604.19 and 278.38

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Solution

The fourth proportional to 437.78, 604.19 and 278.38 is: 384.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.78 : 604.19 = 278.38 : x
  2. Step 2: Convert to fraction form
    437.78/604.19 = 278.38/x
  3. Step 3: Cross multiply
    437.78x = 604.19 × 278.38
  4. Step 4: Simplify right side
    437.78x = 168,191.51
  5. Step 5: Solve for x
    x = 168,191.51/437.78
  6. Step 6: Final answer
    x = 384.19

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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.