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Finding the Fourth Proportional to 351.20, 524.12 and 310.16

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Solution

The fourth proportional to 351.20, 524.12 and 310.16 is: 462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.20 : 524.12 = 310.16 : x
  2. Step 2: Convert to fraction form
    351.20/524.12 = 310.16/x
  3. Step 3: Cross multiply
    351.20x = 524.12 × 310.16
  4. Step 4: Simplify right side
    351.20x = 162,561.06
  5. Step 5: Solve for x
    x = 162,561.06/351.20
  6. Step 6: Final answer
    x = 462.87

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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.