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Finding the Fourth Proportional to 398.98, 598.47 and 142.50

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Solution

The fourth proportional to 398.98, 598.47 and 142.50 is: 213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.98 : 598.47 = 142.50 : x
  2. Step 2: Convert to fraction form
    398.98/598.47 = 142.50/x
  3. Step 3: Cross multiply
    398.98x = 598.47 × 142.50
  4. Step 4: Simplify right side
    398.98x = 85,281.98
  5. Step 5: Solve for x
    x = 85,281.98/398.98
  6. Step 6: Final answer
    x = 213.75

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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.