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Finding the Fourth Proportional to 425.92, 587.53 and 274.25

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Solution

The fourth proportional to 425.92, 587.53 and 274.25 is: 378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.92 : 587.53 = 274.25 : x
  2. Step 2: Convert to fraction form
    425.92/587.53 = 274.25/x
  3. Step 3: Cross multiply
    425.92x = 587.53 × 274.25
  4. Step 4: Simplify right side
    425.92x = 161,130.10
  5. Step 5: Solve for x
    x = 161,130.10/425.92
  6. Step 6: Final answer
    x = 378.31

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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.