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Finding the Fourth Proportional to 403.84, 608.24 and 358.72

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Solution

The fourth proportional to 403.84, 608.24 and 358.72 is: 540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.84 : 608.24 = 358.72 : x
  2. Step 2: Convert to fraction form
    403.84/608.24 = 358.72/x
  3. Step 3: Cross multiply
    403.84x = 608.24 × 358.72
  4. Step 4: Simplify right side
    403.84x = 218,187.85
  5. Step 5: Solve for x
    x = 218,187.85/403.84
  6. Step 6: Final answer
    x = 540.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.