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Finding the Fourth Proportional to 314.28, 430.38 and 313.20

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Solution

The fourth proportional to 314.28, 430.38 and 313.20 is: 428.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 430.38 = 313.20 : x
  2. Step 2: Convert to fraction form
    314.28/430.38 = 313.20/x
  3. Step 3: Cross multiply
    314.28x = 430.38 × 313.20
  4. Step 4: Simplify right side
    314.28x = 134,795.02
  5. Step 5: Solve for x
    x = 134,795.02/314.28
  6. Step 6: Final answer
    x = 428.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.