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Finding the Fourth Proportional to 381.80, 526.50 and 278.12

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Solution

The fourth proportional to 381.80, 526.50 and 278.12 is: 383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 526.50 = 278.12 : x
  2. Step 2: Convert to fraction form
    381.80/526.50 = 278.12/x
  3. Step 3: Cross multiply
    381.80x = 526.50 × 278.12
  4. Step 4: Simplify right side
    381.80x = 146,430.18
  5. Step 5: Solve for x
    x = 146,430.18/381.80
  6. Step 6: Final answer
    x = 383.53

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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.