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Finding the Fourth Proportional to 332.01, 498.02 and 278.28

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Solution

The fourth proportional to 332.01, 498.02 and 278.28 is: 417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.01 : 498.02 = 278.28 : x
  2. Step 2: Convert to fraction form
    332.01/498.02 = 278.28/x
  3. Step 3: Cross multiply
    332.01x = 498.02 × 278.28
  4. Step 4: Simplify right side
    332.01x = 138,589.01
  5. Step 5: Solve for x
    x = 138,589.01/332.01
  6. Step 6: Final answer
    x = 417.42

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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.