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Finding the Fourth Proportional to 499.15, 688.80 and 289.34

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Solution

The fourth proportional to 499.15, 688.80 and 289.34 is: 399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.15 : 688.80 = 289.34 : x
  2. Step 2: Convert to fraction form
    499.15/688.80 = 289.34/x
  3. Step 3: Cross multiply
    499.15x = 688.80 × 289.34
  4. Step 4: Simplify right side
    499.15x = 199,293.95
  5. Step 5: Solve for x
    x = 199,293.95/499.15
  6. Step 6: Final answer
    x = 399.27

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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.