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Finding the Fourth Proportional to 554.15, 831.28 and 280.07

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Solution

The fourth proportional to 554.15, 831.28 and 280.07 is: 420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.15 : 831.28 = 280.07 : x
  2. Step 2: Convert to fraction form
    554.15/831.28 = 280.07/x
  3. Step 3: Cross multiply
    554.15x = 831.28 × 280.07
  4. Step 4: Simplify right side
    554.15x = 232,816.59
  5. Step 5: Solve for x
    x = 232,816.59/554.15
  6. Step 6: Final answer
    x = 420.13

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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.