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Finding the Fourth Proportional to 511.03, 705.18 and 311.84

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Solution

The fourth proportional to 511.03, 705.18 and 311.84 is: 430.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.03 : 705.18 = 311.84 : x
  2. Step 2: Convert to fraction form
    511.03/705.18 = 311.84/x
  3. Step 3: Cross multiply
    511.03x = 705.18 × 311.84
  4. Step 4: Simplify right side
    511.03x = 219,899.81
  5. Step 5: Solve for x
    x = 219,899.81/511.03
  6. Step 6: Final answer
    x = 430.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.