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Finding the Fourth Proportional to 499.50, 689.33 and 278.48

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Solution

The fourth proportional to 499.50, 689.33 and 278.48 is: 384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.50 : 689.33 = 278.48 : x
  2. Step 2: Convert to fraction form
    499.50/689.33 = 278.48/x
  3. Step 3: Cross multiply
    499.50x = 689.33 × 278.48
  4. Step 4: Simplify right side
    499.50x = 191,964.62
  5. Step 5: Solve for x
    x = 191,964.62/499.50
  6. Step 6: Final answer
    x = 384.31

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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.