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Finding the Fourth Proportional to 382.64, 526.61 and 303.71

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Solution

The fourth proportional to 382.64, 526.61 and 303.71 is: 417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.64 : 526.61 = 303.71 : x
  2. Step 2: Convert to fraction form
    382.64/526.61 = 303.71/x
  3. Step 3: Cross multiply
    382.64x = 526.61 × 303.71
  4. Step 4: Simplify right side
    382.64x = 159,934.85
  5. Step 5: Solve for x
    x = 159,934.85/382.64
  6. Step 6: Final answer
    x = 417.98

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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.