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Finding the Fourth Proportional to 398.16, 598.61 and 368.09

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Solution

The fourth proportional to 398.16, 598.61 and 368.09 is: 553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.16 : 598.61 = 368.09 : x
  2. Step 2: Convert to fraction form
    398.16/598.61 = 368.09/x
  3. Step 3: Cross multiply
    398.16x = 598.61 × 368.09
  4. Step 4: Simplify right side
    398.16x = 220,342.35
  5. Step 5: Solve for x
    x = 220,342.35/398.16
  6. Step 6: Final answer
    x = 553.40

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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.