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Finding the Fourth Proportional to 400.47, 599.79 and 215.05

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Solution

The fourth proportional to 400.47, 599.79 and 215.05 is: 322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.47 : 599.79 = 215.05 : x
  2. Step 2: Convert to fraction form
    400.47/599.79 = 215.05/x
  3. Step 3: Cross multiply
    400.47x = 599.79 × 215.05
  4. Step 4: Simplify right side
    400.47x = 128,981.84
  5. Step 5: Solve for x
    x = 128,981.84/400.47
  6. Step 6: Final answer
    x = 322.08

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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.