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Finding the Fourth Proportional to 419.52, 630.16 and 257.28

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Solution

The fourth proportional to 419.52, 630.16 and 257.28 is: 386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.52 : 630.16 = 257.28 : x
  2. Step 2: Convert to fraction form
    419.52/630.16 = 257.28/x
  3. Step 3: Cross multiply
    419.52x = 630.16 × 257.28
  4. Step 4: Simplify right side
    419.52x = 162,127.56
  5. Step 5: Solve for x
    x = 162,127.56/419.52
  6. Step 6: Final answer
    x = 386.46

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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.