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Finding the Fourth Proportional to 358.80, 498.04 and 350.16

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Solution

The fourth proportional to 358.80, 498.04 and 350.16 is: 486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 498.04 = 350.16 : x
  2. Step 2: Convert to fraction form
    358.80/498.04 = 350.16/x
  3. Step 3: Cross multiply
    358.80x = 498.04 × 350.16
  4. Step 4: Simplify right side
    358.80x = 174,393.69
  5. Step 5: Solve for x
    x = 174,393.69/358.80
  6. Step 6: Final answer
    x = 486.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.