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Finding the Fourth Proportional to 356.01, 490.53 and 257.59

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Solution

The fourth proportional to 356.01, 490.53 and 257.59 is: 354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.01 : 490.53 = 257.59 : x
  2. Step 2: Convert to fraction form
    356.01/490.53 = 257.59/x
  3. Step 3: Cross multiply
    356.01x = 490.53 × 257.59
  4. Step 4: Simplify right side
    356.01x = 126,355.88
  5. Step 5: Solve for x
    x = 126,355.88/356.01
  6. Step 6: Final answer
    x = 354.92

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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.