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Finding the Fourth Proportional to 498.54, 746.90 and 278.83

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Solution

The fourth proportional to 498.54, 746.90 and 278.83 is: 417.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.54 : 746.90 = 278.83 : x
  2. Step 2: Convert to fraction form
    498.54/746.90 = 278.83/x
  3. Step 3: Cross multiply
    498.54x = 746.90 × 278.83
  4. Step 4: Simplify right side
    498.54x = 208,258.13
  5. Step 5: Solve for x
    x = 208,258.13/498.54
  6. Step 6: Final answer
    x = 417.74

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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.