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Finding the Fourth Proportional to 381.84, 526.26 and 311.45

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Solution

The fourth proportional to 381.84, 526.26 and 311.45 is: 429.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.84 : 526.26 = 311.45 : x
  2. Step 2: Convert to fraction form
    381.84/526.26 = 311.45/x
  3. Step 3: Cross multiply
    381.84x = 526.26 × 311.45
  4. Step 4: Simplify right side
    381.84x = 163,901.05
  5. Step 5: Solve for x
    x = 163,901.05/381.84
  6. Step 6: Final answer
    x = 429.24

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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.