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Finding the Fourth Proportional to 400.17, 598.94 and 364.19

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Solution

The fourth proportional to 400.17, 598.94 and 364.19 is: 545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.17 : 598.94 = 364.19 : x
  2. Step 2: Convert to fraction form
    400.17/598.94 = 364.19/x
  3. Step 3: Cross multiply
    400.17x = 598.94 × 364.19
  4. Step 4: Simplify right side
    400.17x = 218,126.14
  5. Step 5: Solve for x
    x = 218,126.14/400.17
  6. Step 6: Final answer
    x = 545.08

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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.