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Finding the Fourth Proportional to 459.10, 688.97 and 185.27

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Solution

The fourth proportional to 459.10, 688.97 and 185.27 is: 278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.10 : 688.97 = 185.27 : x
  2. Step 2: Convert to fraction form
    459.10/688.97 = 185.27/x
  3. Step 3: Cross multiply
    459.10x = 688.97 × 185.27
  4. Step 4: Simplify right side
    459.10x = 127,645.47
  5. Step 5: Solve for x
    x = 127,645.47/459.10
  6. Step 6: Final answer
    x = 278.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.