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Finding the Fourth Proportional to 400.13, 598.92 and 214.77

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Solution

The fourth proportional to 400.13, 598.92 and 214.77 is: 321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.13 : 598.92 = 214.77 : x
  2. Step 2: Convert to fraction form
    400.13/598.92 = 214.77/x
  3. Step 3: Cross multiply
    400.13x = 598.92 × 214.77
  4. Step 4: Simplify right side
    400.13x = 128,631.49
  5. Step 5: Solve for x
    x = 128,631.49/400.13
  6. Step 6: Final answer
    x = 321.48

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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.