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Finding the Fourth Proportional to 399.68, 599.75 and 156.23

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Solution

The fourth proportional to 399.68, 599.75 and 156.23 is: 234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.68 : 599.75 = 156.23 : x
  2. Step 2: Convert to fraction form
    399.68/599.75 = 156.23/x
  3. Step 3: Cross multiply
    399.68x = 599.75 × 156.23
  4. Step 4: Simplify right side
    399.68x = 93,695.16
  5. Step 5: Solve for x
    x = 93,695.16/399.68
  6. Step 6: Final answer
    x = 234.43

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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.