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Finding the Fourth Proportional to 402.16, 555.24 and 328.54

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Solution

The fourth proportional to 402.16, 555.24 and 328.54 is: 453.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.16 : 555.24 = 328.54 : x
  2. Step 2: Convert to fraction form
    402.16/555.24 = 328.54/x
  3. Step 3: Cross multiply
    402.16x = 555.24 × 328.54
  4. Step 4: Simplify right side
    402.16x = 182,418.55
  5. Step 5: Solve for x
    x = 182,418.55/402.16
  6. Step 6: Final answer
    x = 453.60

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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.