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Finding the Fourth Proportional to 366.24, 548.58 and 257.64

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Solution

The fourth proportional to 366.24, 548.58 and 257.64 is: 385.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.24 : 548.58 = 257.64 : x
  2. Step 2: Convert to fraction form
    366.24/548.58 = 257.64/x
  3. Step 3: Cross multiply
    366.24x = 548.58 × 257.64
  4. Step 4: Simplify right side
    366.24x = 141,336.15
  5. Step 5: Solve for x
    x = 141,336.15/366.24
  6. Step 6: Final answer
    x = 385.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.