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Finding the Fourth Proportional to 399.72, 599 and 312.66

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Solution

The fourth proportional to 399.72, 599 and 312.66 is: 468.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.72 : 599 = 312.66 : x
  2. Step 2: Convert to fraction form
    399.72/599 = 312.66/x
  3. Step 3: Cross multiply
    399.72x = 599 × 312.66
  4. Step 4: Simplify right side
    399.72x = 187,283.34
  5. Step 5: Solve for x
    x = 187,283.34/399.72
  6. Step 6: Final answer
    x = 468.54

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