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Finding the Fourth Proportional to 499.44, 689.17 and 278.36

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Solution

The fourth proportional to 499.44, 689.17 and 278.36 is: 384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.44 : 689.17 = 278.36 : x
  2. Step 2: Convert to fraction form
    499.44/689.17 = 278.36/x
  3. Step 3: Cross multiply
    499.44x = 689.17 × 278.36
  4. Step 4: Simplify right side
    499.44x = 191,837.36
  5. Step 5: Solve for x
    x = 191,837.36/499.44
  6. Step 6: Final answer
    x = 384.10

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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.