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Finding the Fourth Proportional to 281.37, 419.58 and 261.90

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Solution

The fourth proportional to 281.37, 419.58 and 261.90 is: 390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.37 : 419.58 = 261.90 : x
  2. Step 2: Convert to fraction form
    281.37/419.58 = 261.90/x
  3. Step 3: Cross multiply
    281.37x = 419.58 × 261.90
  4. Step 4: Simplify right side
    281.37x = 109,888.00
  5. Step 5: Solve for x
    x = 109,888.00/281.37
  6. Step 6: Final answer
    x = 390.55

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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.