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Finding the Fourth Proportional to 353.20, 527.09 and 312.16

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Solution

The fourth proportional to 353.20, 527.09 and 312.16 is: 465.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.20 : 527.09 = 312.16 : x
  2. Step 2: Convert to fraction form
    353.20/527.09 = 312.16/x
  3. Step 3: Cross multiply
    353.20x = 527.09 × 312.16
  4. Step 4: Simplify right side
    353.20x = 164,536.41
  5. Step 5: Solve for x
    x = 164,536.41/353.20
  6. Step 6: Final answer
    x = 465.84

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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.