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Finding the Fourth Proportional to 382.10, 526.58 and 375.37

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Solution

The fourth proportional to 382.10, 526.58 and 375.37 is: 517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.10 : 526.58 = 375.37 : x
  2. Step 2: Convert to fraction form
    382.10/526.58 = 375.37/x
  3. Step 3: Cross multiply
    382.10x = 526.58 × 375.37
  4. Step 4: Simplify right side
    382.10x = 197,660.64
  5. Step 5: Solve for x
    x = 197,660.64/382.10
  6. Step 6: Final answer
    x = 517.30

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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.