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Finding the Fourth Proportional to 508.06, 700.95 and 311.42

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Solution

The fourth proportional to 508.06, 700.95 and 311.42 is: 429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.06 : 700.95 = 311.42 : x
  2. Step 2: Convert to fraction form
    508.06/700.95 = 311.42/x
  3. Step 3: Cross multiply
    508.06x = 700.95 × 311.42
  4. Step 4: Simplify right side
    508.06x = 218,289.85
  5. Step 5: Solve for x
    x = 218,289.85/508.06
  6. Step 6: Final answer
    x = 429.65

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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.