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Finding the Fourth Proportional to 315.58, 471.11 and 274.58

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Solution

The fourth proportional to 315.58, 471.11 and 274.58 is: 409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.58 : 471.11 = 274.58 : x
  2. Step 2: Convert to fraction form
    315.58/471.11 = 274.58/x
  3. Step 3: Cross multiply
    315.58x = 471.11 × 274.58
  4. Step 4: Simplify right side
    315.58x = 129,357.38
  5. Step 5: Solve for x
    x = 129,357.38/315.58
  6. Step 6: Final answer
    x = 409.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.