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Finding the Fourth Proportional to 399.66, 597.84 and 318.66

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Solution

The fourth proportional to 399.66, 597.84 and 318.66 is: 476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.66 : 597.84 = 318.66 : x
  2. Step 2: Convert to fraction form
    399.66/597.84 = 318.66/x
  3. Step 3: Cross multiply
    399.66x = 597.84 × 318.66
  4. Step 4: Simplify right side
    399.66x = 190,507.69
  5. Step 5: Solve for x
    x = 190,507.69/399.66
  6. Step 6: Final answer
    x = 476.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.