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Finding the Fourth Proportional to 257.58, 383.76 and 243.54

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Solution

The fourth proportional to 257.58, 383.76 and 243.54 is: 362.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.58 : 383.76 = 243.54 : x
  2. Step 2: Convert to fraction form
    257.58/383.76 = 243.54/x
  3. Step 3: Cross multiply
    257.58x = 383.76 × 243.54
  4. Step 4: Simplify right side
    257.58x = 93,460.91
  5. Step 5: Solve for x
    x = 93,460.91/257.58
  6. Step 6: Final answer
    x = 362.84

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