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Finding the Fourth Proportional to 423.05, 583.64 and 257.20

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Solution

The fourth proportional to 423.05, 583.64 and 257.20 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.05 : 583.64 = 257.20 : x
  2. Step 2: Convert to fraction form
    423.05/583.64 = 257.20/x
  3. Step 3: Cross multiply
    423.05x = 583.64 × 257.20
  4. Step 4: Simplify right side
    423.05x = 150,112.21
  5. Step 5: Solve for x
    x = 150,112.21/423.05
  6. Step 6: Final answer
    x = 354.83

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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.