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Finding the Fourth Proportional to 456.74, 630.32 and 257.60

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Solution

The fourth proportional to 456.74, 630.32 and 257.60 is: 355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.74 : 630.32 = 257.60 : x
  2. Step 2: Convert to fraction form
    456.74/630.32 = 257.60/x
  3. Step 3: Cross multiply
    456.74x = 630.32 × 257.60
  4. Step 4: Simplify right side
    456.74x = 162,370.43
  5. Step 5: Solve for x
    x = 162,370.43/456.74
  6. Step 6: Final answer
    x = 355.50

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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.