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Finding the Fourth Proportional to 382.53, 526.53 and 319.67

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Solution

The fourth proportional to 382.53, 526.53 and 319.67 is: 440.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.53 : 526.53 = 319.67 : x
  2. Step 2: Convert to fraction form
    382.53/526.53 = 319.67/x
  3. Step 3: Cross multiply
    382.53x = 526.53 × 319.67
  4. Step 4: Simplify right side
    382.53x = 168,315.85
  5. Step 5: Solve for x
    x = 168,315.85/382.53
  6. Step 6: Final answer
    x = 440.01

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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.