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Finding the Fourth Proportional to 431.45, 595.50 and 274.17

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Solution

The fourth proportional to 431.45, 595.50 and 274.17 is: 378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.45 : 595.50 = 274.17 : x
  2. Step 2: Convert to fraction form
    431.45/595.50 = 274.17/x
  3. Step 3: Cross multiply
    431.45x = 595.50 × 274.17
  4. Step 4: Simplify right side
    431.45x = 163,268.24
  5. Step 5: Solve for x
    x = 163,268.24/431.45
  6. Step 6: Final answer
    x = 378.42

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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.