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Finding the Fourth Proportional to 423.54, 584.15 and 257.58

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Solution

The fourth proportional to 423.54, 584.15 and 257.58 is: 355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.54 : 584.15 = 257.58 : x
  2. Step 2: Convert to fraction form
    423.54/584.15 = 257.58/x
  3. Step 3: Cross multiply
    423.54x = 584.15 × 257.58
  4. Step 4: Simplify right side
    423.54x = 150,465.16
  5. Step 5: Solve for x
    x = 150,465.16/423.54
  6. Step 6: Final answer
    x = 355.25

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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.