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Finding the Fourth Proportional to 281.90, 419.72 and 280.55

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Solution

The fourth proportional to 281.90, 419.72 and 280.55 is: 417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.90 : 419.72 = 280.55 : x
  2. Step 2: Convert to fraction form
    281.90/419.72 = 280.55/x
  3. Step 3: Cross multiply
    281.90x = 419.72 × 280.55
  4. Step 4: Simplify right side
    281.90x = 117,748.94
  5. Step 5: Solve for x
    x = 117,748.94/281.90
  6. Step 6: Final answer
    x = 417.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.