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Finding the Fourth Proportional to 498.01, 686.19 and 357.68

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Solution

The fourth proportional to 498.01, 686.19 and 357.68 is: 492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.01 : 686.19 = 357.68 : x
  2. Step 2: Convert to fraction form
    498.01/686.19 = 357.68/x
  3. Step 3: Cross multiply
    498.01x = 686.19 × 357.68
  4. Step 4: Simplify right side
    498.01x = 245,431.22
  5. Step 5: Solve for x
    x = 245,431.22/498.01
  6. Step 6: Final answer
    x = 492.82

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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.