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Finding the Fourth Proportional to 280.10, 419.93 and 187.65

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Solution

The fourth proportional to 280.10, 419.93 and 187.65 is: 281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.10 : 419.93 = 187.65 : x
  2. Step 2: Convert to fraction form
    280.10/419.93 = 187.65/x
  3. Step 3: Cross multiply
    280.10x = 419.93 × 187.65
  4. Step 4: Simplify right side
    280.10x = 78,798.87
  5. Step 5: Solve for x
    x = 78,798.87/280.10
  6. Step 6: Final answer
    x = 281.32

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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.