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Finding the Fourth Proportional to 382.79, 526.88 and 319.91

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Solution

The fourth proportional to 382.79, 526.88 and 319.91 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.79 : 526.88 = 319.91 : x
  2. Step 2: Convert to fraction form
    382.79/526.88 = 319.91/x
  3. Step 3: Cross multiply
    382.79x = 526.88 × 319.91
  4. Step 4: Simplify right side
    382.79x = 168,554.18
  5. Step 5: Solve for x
    x = 168,554.18/382.79
  6. Step 6: Final answer
    x = 440.33

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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.