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Finding the Fourth Proportional to 403.82, 606.51 and 358.56

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Solution

The fourth proportional to 403.82, 606.51 and 358.56 is: 538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.82 : 606.51 = 358.56 : x
  2. Step 2: Convert to fraction form
    403.82/606.51 = 358.56/x
  3. Step 3: Cross multiply
    403.82x = 606.51 × 358.56
  4. Step 4: Simplify right side
    403.82x = 217,470.23
  5. Step 5: Solve for x
    x = 217,470.23/403.82
  6. Step 6: Final answer
    x = 538.53

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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.