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Finding the Fourth Proportional to 423.00, 583.64 and 257.12

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Solution

The fourth proportional to 423.00, 583.64 and 257.12 is: 354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.00 : 583.64 = 257.12 : x
  2. Step 2: Convert to fraction form
    423.00/583.64 = 257.12/x
  3. Step 3: Cross multiply
    423.00x = 583.64 × 257.12
  4. Step 4: Simplify right side
    423.00x = 150,063.24
  5. Step 5: Solve for x
    x = 150,063.24/423.00
  6. Step 6: Final answer
    x = 354.76

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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.