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Finding the Fourth Proportional to 380.14, 526.70 and 371.93

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Solution

The fourth proportional to 380.14, 526.70 and 371.93 is: 515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.14 : 526.70 = 371.93 : x
  2. Step 2: Convert to fraction form
    380.14/526.70 = 371.93/x
  3. Step 3: Cross multiply
    380.14x = 526.70 × 371.93
  4. Step 4: Simplify right side
    380.14x = 195,894.99
  5. Step 5: Solve for x
    x = 195,894.99/380.14
  6. Step 6: Final answer
    x = 515.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.