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Finding the Fourth Proportional to 423.24, 583.86 and 257.40

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Solution

The fourth proportional to 423.24, 583.86 and 257.40 is: 355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 583.86 = 257.40 : x
  2. Step 2: Convert to fraction form
    423.24/583.86 = 257.40/x
  3. Step 3: Cross multiply
    423.24x = 583.86 × 257.40
  4. Step 4: Simplify right side
    423.24x = 150,285.56
  5. Step 5: Solve for x
    x = 150,285.56/423.24
  6. Step 6: Final answer
    x = 355.08

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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.