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Finding the Fourth Proportional to 499.48, 689.29 and 278.41

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Solution

The fourth proportional to 499.48, 689.29 and 278.41 is: 384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.48 : 689.29 = 278.41 : x
  2. Step 2: Convert to fraction form
    499.48/689.29 = 278.41/x
  3. Step 3: Cross multiply
    499.48x = 689.29 × 278.41
  4. Step 4: Simplify right side
    499.48x = 191,903.84
  5. Step 5: Solve for x
    x = 191,903.84/499.48
  6. Step 6: Final answer
    x = 384.21

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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.