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Finding the Fourth Proportional to 387.40, 535.80 and 380.92

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Solution

The fourth proportional to 387.40, 535.80 and 380.92 is: 526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.40 : 535.80 = 380.92 : x
  2. Step 2: Convert to fraction form
    387.40/535.80 = 380.92/x
  3. Step 3: Cross multiply
    387.40x = 535.80 × 380.92
  4. Step 4: Simplify right side
    387.40x = 204,096.94
  5. Step 5: Solve for x
    x = 204,096.94/387.40
  6. Step 6: Final answer
    x = 526.84

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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.