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Finding the Fourth Proportional to 498.64, 688.10 and 274.58

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Solution

The fourth proportional to 498.64, 688.10 and 274.58 is: 378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.64 : 688.10 = 274.58 : x
  2. Step 2: Convert to fraction form
    498.64/688.10 = 274.58/x
  3. Step 3: Cross multiply
    498.64x = 688.10 × 274.58
  4. Step 4: Simplify right side
    498.64x = 188,938.50
  5. Step 5: Solve for x
    x = 188,938.50/498.64
  6. Step 6: Final answer
    x = 378.91

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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.