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Finding the Fourth Proportional to 257.37, 384.04 and 230.13

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Solution

The fourth proportional to 257.37, 384.04 and 230.13 is: 343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.37 : 384.04 = 230.13 : x
  2. Step 2: Convert to fraction form
    257.37/384.04 = 230.13/x
  3. Step 3: Cross multiply
    257.37x = 384.04 × 230.13
  4. Step 4: Simplify right side
    257.37x = 88,378.55
  5. Step 5: Solve for x
    x = 88,378.55/257.37
  6. Step 6: Final answer
    x = 343.39

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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.