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Finding the Fourth Proportional to 554.09, 831.18 and 280.01

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Solution

The fourth proportional to 554.09, 831.18 and 280.01 is: 420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.09 : 831.18 = 280.01 : x
  2. Step 2: Convert to fraction form
    554.09/831.18 = 280.01/x
  3. Step 3: Cross multiply
    554.09x = 831.18 × 280.01
  4. Step 4: Simplify right side
    554.09x = 232,734.56
  5. Step 5: Solve for x
    x = 232,734.56/554.09
  6. Step 6: Final answer
    x = 420.03

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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.