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Finding the Fourth Proportional to 380.86, 526.01 and 286.17

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Solution

The fourth proportional to 380.86, 526.01 and 286.17 is: 395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.86 : 526.01 = 286.17 : x
  2. Step 2: Convert to fraction form
    380.86/526.01 = 286.17/x
  3. Step 3: Cross multiply
    380.86x = 526.01 × 286.17
  4. Step 4: Simplify right side
    380.86x = 150,526.49
  5. Step 5: Solve for x
    x = 150,526.49/380.86
  6. Step 6: Final answer
    x = 395.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.