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Finding the Fourth Proportional to 280.45, 420.78 and 164.89

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Solution

The fourth proportional to 280.45, 420.78 and 164.89 is: 247.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.45 : 420.78 = 164.89 : x
  2. Step 2: Convert to fraction form
    280.45/420.78 = 164.89/x
  3. Step 3: Cross multiply
    280.45x = 420.78 × 164.89
  4. Step 4: Simplify right side
    280.45x = 69,382.41
  5. Step 5: Solve for x
    x = 69,382.41/280.45
  6. Step 6: Final answer
    x = 247.40

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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.