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Finding the Fourth Proportional to 398.99, 598.48 and 125.10

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Solution

The fourth proportional to 398.99, 598.48 and 125.10 is: 187.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.99 : 598.48 = 125.10 : x
  2. Step 2: Convert to fraction form
    398.99/598.48 = 125.10/x
  3. Step 3: Cross multiply
    398.99x = 598.48 × 125.10
  4. Step 4: Simplify right side
    398.99x = 74,869.38
  5. Step 5: Solve for x
    x = 74,869.38/398.99
  6. Step 6: Final answer
    x = 187.65

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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.