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Finding the Fourth Proportional to 338.52, 506.66 and 256.91

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Solution

The fourth proportional to 338.52, 506.66 and 256.91 is: 384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.52 : 506.66 = 256.91 : x
  2. Step 2: Convert to fraction form
    338.52/506.66 = 256.91/x
  3. Step 3: Cross multiply
    338.52x = 506.66 × 256.91
  4. Step 4: Simplify right side
    338.52x = 130,166.02
  5. Step 5: Solve for x
    x = 130,166.02/338.52
  6. Step 6: Final answer
    x = 384.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.