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Finding the Fourth Proportional to 257.66, 384.51 and 230.32

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Solution

The fourth proportional to 257.66, 384.51 and 230.32 is: 343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.66 : 384.51 = 230.32 : x
  2. Step 2: Convert to fraction form
    257.66/384.51 = 230.32/x
  3. Step 3: Cross multiply
    257.66x = 384.51 × 230.32
  4. Step 4: Simplify right side
    257.66x = 88,560.34
  5. Step 5: Solve for x
    x = 88,560.34/257.66
  6. Step 6: Final answer
    x = 343.71

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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.