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Finding the Fourth Proportional to 281.68, 420.55 and 265.30

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Solution

The fourth proportional to 281.68, 420.55 and 265.30 is: 396.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.68 : 420.55 = 265.30 : x
  2. Step 2: Convert to fraction form
    281.68/420.55 = 265.30/x
  3. Step 3: Cross multiply
    281.68x = 420.55 × 265.30
  4. Step 4: Simplify right side
    281.68x = 111,571.92
  5. Step 5: Solve for x
    x = 111,571.92/281.68
  6. Step 6: Final answer
    x = 396.09

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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.