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Finding the Fourth Proportional to 423.08, 583.60 and 257.24

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Solution

The fourth proportional to 423.08, 583.60 and 257.24 is: 354.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.08 : 583.60 = 257.24 : x
  2. Step 2: Convert to fraction form
    423.08/583.60 = 257.24/x
  3. Step 3: Cross multiply
    423.08x = 583.60 × 257.24
  4. Step 4: Simplify right side
    423.08x = 150,125.26
  5. Step 5: Solve for x
    x = 150,125.26/423.08
  6. Step 6: Final answer
    x = 354.84

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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.