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Finding the Fourth Proportional to 465.13, 698.03 and 311.35

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Solution

The fourth proportional to 465.13, 698.03 and 311.35 is: 467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.13 : 698.03 = 311.35 : x
  2. Step 2: Convert to fraction form
    465.13/698.03 = 311.35/x
  3. Step 3: Cross multiply
    465.13x = 698.03 × 311.35
  4. Step 4: Simplify right side
    465.13x = 217,331.64
  5. Step 5: Solve for x
    x = 217,331.64/465.13
  6. Step 6: Final answer
    x = 467.25

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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.