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Finding the Fourth Proportional to 455.20, 628.16 and 248.20

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Solution

The fourth proportional to 455.20, 628.16 and 248.20 is: 342.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.20 : 628.16 = 248.20 : x
  2. Step 2: Convert to fraction form
    455.20/628.16 = 248.20/x
  3. Step 3: Cross multiply
    455.20x = 628.16 × 248.20
  4. Step 4: Simplify right side
    455.20x = 155,904.93
  5. Step 5: Solve for x
    x = 155,904.93/455.20
  6. Step 6: Final answer
    x = 342.50

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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.