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Finding the Fourth Proportional to 403.49, 557.93 and 320.45

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Solution

The fourth proportional to 403.49, 557.93 and 320.45 is: 443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.49 : 557.93 = 320.45 : x
  2. Step 2: Convert to fraction form
    403.49/557.93 = 320.45/x
  3. Step 3: Cross multiply
    403.49x = 557.93 × 320.45
  4. Step 4: Simplify right side
    403.49x = 178,789.47
  5. Step 5: Solve for x
    x = 178,789.47/403.49
  6. Step 6: Final answer
    x = 443.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.