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Finding the Fourth Proportional to 351.15, 524.15 and 310.62

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Solution

The fourth proportional to 351.15, 524.15 and 310.62 is: 463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.15 : 524.15 = 310.62 : x
  2. Step 2: Convert to fraction form
    351.15/524.15 = 310.62/x
  3. Step 3: Cross multiply
    351.15x = 524.15 × 310.62
  4. Step 4: Simplify right side
    351.15x = 162,809.92
  5. Step 5: Solve for x
    x = 162,809.92/351.15
  6. Step 6: Final answer
    x = 463.65

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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.