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Finding the Fourth Proportional to 498.55, 688.04 and 302.06

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Solution

The fourth proportional to 498.55, 688.04 and 302.06 is: 416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.55 : 688.04 = 302.06 : x
  2. Step 2: Convert to fraction form
    498.55/688.04 = 302.06/x
  3. Step 3: Cross multiply
    498.55x = 688.04 × 302.06
  4. Step 4: Simplify right side
    498.55x = 207,824.41
  5. Step 5: Solve for x
    x = 207,824.41/498.55
  6. Step 6: Final answer
    x = 416.86

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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.