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Finding the Fourth Proportional to 403.80, 557.08 and 272.90

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Solution

The fourth proportional to 403.80, 557.08 and 272.90 is: 376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 557.08 = 272.90 : x
  2. Step 2: Convert to fraction form
    403.80/557.08 = 272.90/x
  3. Step 3: Cross multiply
    403.80x = 557.08 × 272.90
  4. Step 4: Simplify right side
    403.80x = 152,027.13
  5. Step 5: Solve for x
    x = 152,027.13/403.80
  6. Step 6: Final answer
    x = 376.49

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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.