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Finding the Fourth Proportional to 498.94, 688.42 and 302.10

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Solution

The fourth proportional to 498.94, 688.42 and 302.10 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.94 : 688.42 = 302.10 : x
  2. Step 2: Convert to fraction form
    498.94/688.42 = 302.10/x
  3. Step 3: Cross multiply
    498.94x = 688.42 × 302.10
  4. Step 4: Simplify right side
    498.94x = 207,971.68
  5. Step 5: Solve for x
    x = 207,971.68/498.94
  6. Step 6: Final answer
    x = 416.83

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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.