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Finding the Fourth Proportional to 495.55, 683.80 and 274.47

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Solution

The fourth proportional to 495.55, 683.80 and 274.47 is: 378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.55 : 683.80 = 274.47 : x
  2. Step 2: Convert to fraction form
    495.55/683.80 = 274.47/x
  3. Step 3: Cross multiply
    495.55x = 683.80 × 274.47
  4. Step 4: Simplify right side
    495.55x = 187,681.21
  5. Step 5: Solve for x
    x = 187,681.21/495.55
  6. Step 6: Final answer
    x = 378.74

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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.