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Finding the Fourth Proportional to 398.89, 598.10 and 152.11

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Solution

The fourth proportional to 398.89, 598.10 and 152.11 is: 228.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.89 : 598.10 = 152.11 : x
  2. Step 2: Convert to fraction form
    398.89/598.10 = 152.11/x
  3. Step 3: Cross multiply
    398.89x = 598.10 × 152.11
  4. Step 4: Simplify right side
    398.89x = 90,976.98
  5. Step 5: Solve for x
    x = 90,976.98/398.89
  6. Step 6: Final answer
    x = 228.08

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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.