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Finding the Fourth Proportional to 555.51, 831.73 and 280.26

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Solution

The fourth proportional to 555.51, 831.73 and 280.26 is: 419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.51 : 831.73 = 280.26 : x
  2. Step 2: Convert to fraction form
    555.51/831.73 = 280.26/x
  3. Step 3: Cross multiply
    555.51x = 831.73 × 280.26
  4. Step 4: Simplify right side
    555.51x = 233,095.09
  5. Step 5: Solve for x
    x = 233,095.09/555.51
  6. Step 6: Final answer
    x = 419.61

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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.