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Finding the Fourth Proportional to 382.95, 526.19 and 312.84

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Solution

The fourth proportional to 382.95, 526.19 and 312.84 is: 429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.95 : 526.19 = 312.84 : x
  2. Step 2: Convert to fraction form
    382.95/526.19 = 312.84/x
  3. Step 3: Cross multiply
    382.95x = 526.19 × 312.84
  4. Step 4: Simplify right side
    382.95x = 164,611.72
  5. Step 5: Solve for x
    x = 164,611.72/382.95
  6. Step 6: Final answer
    x = 429.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.