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Finding the Fourth Proportional to 403.60, 557.02 and 305.20

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Solution

The fourth proportional to 403.60, 557.02 and 305.20 is: 421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.60 : 557.02 = 305.20 : x
  2. Step 2: Convert to fraction form
    403.60/557.02 = 305.20/x
  3. Step 3: Cross multiply
    403.60x = 557.02 × 305.20
  4. Step 4: Simplify right side
    403.60x = 170,002.50
  5. Step 5: Solve for x
    x = 170,002.50/403.60
  6. Step 6: Final answer
    x = 421.22

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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.