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Finding the Fourth Proportional to 554.68, 831.26 and 280.09

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Solution

The fourth proportional to 554.68, 831.26 and 280.09 is: 419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.68 : 831.26 = 280.09 : x
  2. Step 2: Convert to fraction form
    554.68/831.26 = 280.09/x
  3. Step 3: Cross multiply
    554.68x = 831.26 × 280.09
  4. Step 4: Simplify right side
    554.68x = 232,829.35
  5. Step 5: Solve for x
    x = 232,829.35/554.68
  6. Step 6: Final answer
    x = 419.75

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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.