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Finding the Fourth Proportional to 399.04, 598.56 and 142.48

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Solution

The fourth proportional to 399.04, 598.56 and 142.48 is: 213.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.04 : 598.56 = 142.48 : x
  2. Step 2: Convert to fraction form
    399.04/598.56 = 142.48/x
  3. Step 3: Cross multiply
    399.04x = 598.56 × 142.48
  4. Step 4: Simplify right side
    399.04x = 85,282.83
  5. Step 5: Solve for x
    x = 85,282.83/399.04
  6. Step 6: Final answer
    x = 213.72

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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.