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Finding the Fourth Proportional to 400.99, 601.80 and 218.59

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Solution

The fourth proportional to 400.99, 601.80 and 218.59 is: 328.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.99 : 601.80 = 218.59 : x
  2. Step 2: Convert to fraction form
    400.99/601.80 = 218.59/x
  3. Step 3: Cross multiply
    400.99x = 601.80 × 218.59
  4. Step 4: Simplify right side
    400.99x = 131,547.46
  5. Step 5: Solve for x
    x = 131,547.46/400.99
  6. Step 6: Final answer
    x = 328.06

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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.