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Finding the Fourth Proportional to 355.02, 490.37 and 256.62

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Solution

The fourth proportional to 355.02, 490.37 and 256.62 is: 354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.02 : 490.37 = 256.62 : x
  2. Step 2: Convert to fraction form
    355.02/490.37 = 256.62/x
  3. Step 3: Cross multiply
    355.02x = 490.37 × 256.62
  4. Step 4: Simplify right side
    355.02x = 125,837.47
  5. Step 5: Solve for x
    x = 125,837.47/355.02
  6. Step 6: Final answer
    x = 354.45

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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.