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Finding the Fourth Proportional to 257.96, 384.69 and 243.58

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Solution

The fourth proportional to 257.96, 384.69 and 243.58 is: 363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.96 : 384.69 = 243.58 : x
  2. Step 2: Convert to fraction form
    257.96/384.69 = 243.58/x
  3. Step 3: Cross multiply
    257.96x = 384.69 × 243.58
  4. Step 4: Simplify right side
    257.96x = 93,702.79
  5. Step 5: Solve for x
    x = 93,702.79/257.96
  6. Step 6: Final answer
    x = 363.25

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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.