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Finding the Fourth Proportional to 403.58, 557.82 and 293.83

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Solution

The fourth proportional to 403.58, 557.82 and 293.83 is: 406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.58 : 557.82 = 293.83 : x
  2. Step 2: Convert to fraction form
    403.58/557.82 = 293.83/x
  3. Step 3: Cross multiply
    403.58x = 557.82 × 293.83
  4. Step 4: Simplify right side
    403.58x = 163,902.86
  5. Step 5: Solve for x
    x = 163,902.86/403.58
  6. Step 6: Final answer
    x = 406.12

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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.