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Finding the Fourth Proportional to 367.76, 506.65 and 257.06

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Solution

The fourth proportional to 367.76, 506.65 and 257.06 is: 354.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.76 : 506.65 = 257.06 : x
  2. Step 2: Convert to fraction form
    367.76/506.65 = 257.06/x
  3. Step 3: Cross multiply
    367.76x = 506.65 × 257.06
  4. Step 4: Simplify right side
    367.76x = 130,235.63
  5. Step 5: Solve for x
    x = 130,235.63/367.76
  6. Step 6: Final answer
    x = 354.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.