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Finding the Fourth Proportional to 357.40, 533.21 and 311.84

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Solution

The fourth proportional to 357.40, 533.21 and 311.84 is: 465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.40 : 533.21 = 311.84 : x
  2. Step 2: Convert to fraction form
    357.40/533.21 = 311.84/x
  3. Step 3: Cross multiply
    357.40x = 533.21 × 311.84
  4. Step 4: Simplify right side
    357.40x = 166,276.21
  5. Step 5: Solve for x
    x = 166,276.21/357.40
  6. Step 6: Final answer
    x = 465.24

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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.