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Finding the Fourth Proportional to 465.84, 642.96 and 310.50

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Solution

The fourth proportional to 465.84, 642.96 and 310.50 is: 428.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 642.96 = 310.50 : x
  2. Step 2: Convert to fraction form
    465.84/642.96 = 310.50/x
  3. Step 3: Cross multiply
    465.84x = 642.96 × 310.50
  4. Step 4: Simplify right side
    465.84x = 199,639.08
  5. Step 5: Solve for x
    x = 199,639.08/465.84
  6. Step 6: Final answer
    x = 428.56

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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.