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Finding the Fourth Proportional to 398.83, 596.14 and 359.71

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Solution

The fourth proportional to 398.83, 596.14 and 359.71 is: 537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.83 : 596.14 = 359.71 : x
  2. Step 2: Convert to fraction form
    398.83/596.14 = 359.71/x
  3. Step 3: Cross multiply
    398.83x = 596.14 × 359.71
  4. Step 4: Simplify right side
    398.83x = 214,437.52
  5. Step 5: Solve for x
    x = 214,437.52/398.83
  6. Step 6: Final answer
    x = 537.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.