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Finding the Fourth Proportional to 430.28, 642.73 and 313.73

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Solution

The fourth proportional to 430.28, 642.73 and 313.73 is: 468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.28 : 642.73 = 313.73 : x
  2. Step 2: Convert to fraction form
    430.28/642.73 = 313.73/x
  3. Step 3: Cross multiply
    430.28x = 642.73 × 313.73
  4. Step 4: Simplify right side
    430.28x = 201,643.68
  5. Step 5: Solve for x
    x = 201,643.68/430.28
  6. Step 6: Final answer
    x = 468.63

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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.