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Finding the Fourth Proportional to 314.53, 471.48 and 211.57

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Solution

The fourth proportional to 314.53, 471.48 and 211.57 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.53 : 471.48 = 211.57 : x
  2. Step 2: Convert to fraction form
    314.53/471.48 = 211.57/x
  3. Step 3: Cross multiply
    314.53x = 471.48 × 211.57
  4. Step 4: Simplify right side
    314.53x = 99,751.02
  5. Step 5: Solve for x
    x = 99,751.02/314.53
  6. Step 6: Final answer
    x = 317.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.