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Finding the Fourth Proportional to 257.44, 384.08 and 245.20

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Solution

The fourth proportional to 257.44, 384.08 and 245.20 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.44 : 384.08 = 245.20 : x
  2. Step 2: Convert to fraction form
    257.44/384.08 = 245.20/x
  3. Step 3: Cross multiply
    257.44x = 384.08 × 245.20
  4. Step 4: Simplify right side
    257.44x = 94,176.42
  5. Step 5: Solve for x
    x = 94,176.42/257.44
  6. Step 6: Final answer
    x = 365.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.