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Finding the Fourth Proportional to 459.66, 689.42 and 185.78

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Solution

The fourth proportional to 459.66, 689.42 and 185.78 is: 278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.66 : 689.42 = 185.78 : x
  2. Step 2: Convert to fraction form
    459.66/689.42 = 185.78/x
  3. Step 3: Cross multiply
    459.66x = 689.42 × 185.78
  4. Step 4: Simplify right side
    459.66x = 128,080.45
  5. Step 5: Solve for x
    x = 128,080.45/459.66
  6. Step 6: Final answer
    x = 278.64

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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.