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Finding the Fourth Proportional to 403.04, 556.40 and 285.59

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Solution

The fourth proportional to 403.04, 556.40 and 285.59 is: 394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.04 : 556.40 = 285.59 : x
  2. Step 2: Convert to fraction form
    403.04/556.40 = 285.59/x
  3. Step 3: Cross multiply
    403.04x = 556.40 × 285.59
  4. Step 4: Simplify right side
    403.04x = 158,900.85
  5. Step 5: Solve for x
    x = 158,900.85/403.04
  6. Step 6: Final answer
    x = 394.26

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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.