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Finding the Fourth Proportional to 257.06, 383.30 and 253.87

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Solution

The fourth proportional to 257.06, 383.30 and 253.87 is: 378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.06 : 383.30 = 253.87 : x
  2. Step 2: Convert to fraction form
    257.06/383.30 = 253.87/x
  3. Step 3: Cross multiply
    257.06x = 383.30 × 253.87
  4. Step 4: Simplify right side
    257.06x = 97,308.37
  5. Step 5: Solve for x
    x = 97,308.37/257.06
  6. Step 6: Final answer
    x = 378.54

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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.