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Finding the Fourth Proportional to 403.80, 556.92 and 287.16

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Solution

The fourth proportional to 403.80, 556.92 and 287.16 is: 396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 556.92 = 287.16 : x
  2. Step 2: Convert to fraction form
    403.80/556.92 = 287.16/x
  3. Step 3: Cross multiply
    403.80x = 556.92 × 287.16
  4. Step 4: Simplify right side
    403.80x = 159,925.15
  5. Step 5: Solve for x
    x = 159,925.15/403.80
  6. Step 6: Final answer
    x = 396.05

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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.