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Finding the Fourth Proportional to 349.60, 523.79 and 311.93

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Solution

The fourth proportional to 349.60, 523.79 and 311.93 is: 467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.60 : 523.79 = 311.93 : x
  2. Step 2: Convert to fraction form
    349.60/523.79 = 311.93/x
  3. Step 3: Cross multiply
    349.60x = 523.79 × 311.93
  4. Step 4: Simplify right side
    349.60x = 163,384.26
  5. Step 5: Solve for x
    x = 163,384.26/349.60
  6. Step 6: Final answer
    x = 467.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.