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Finding the Fourth Proportional to 382.04, 526.66 and 283.62

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Solution

The fourth proportional to 382.04, 526.66 and 283.62 is: 390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.04 : 526.66 = 283.62 : x
  2. Step 2: Convert to fraction form
    382.04/526.66 = 283.62/x
  3. Step 3: Cross multiply
    382.04x = 526.66 × 283.62
  4. Step 4: Simplify right side
    382.04x = 149,371.31
  5. Step 5: Solve for x
    x = 149,371.31/382.04
  6. Step 6: Final answer
    x = 390.98

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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.