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Finding the Fourth Proportional to 403.54, 601.82 and 355.02

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Solution

The fourth proportional to 403.54, 601.82 and 355.02 is: 529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.54 : 601.82 = 355.02 : x
  2. Step 2: Convert to fraction form
    403.54/601.82 = 355.02/x
  3. Step 3: Cross multiply
    403.54x = 601.82 × 355.02
  4. Step 4: Simplify right side
    403.54x = 213,658.14
  5. Step 5: Solve for x
    x = 213,658.14/403.54
  6. Step 6: Final answer
    x = 529.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.