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Finding the Fourth Proportional to 508.37, 701.55 and 311.90

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Solution

The fourth proportional to 508.37, 701.55 and 311.90 is: 430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.37 : 701.55 = 311.90 : x
  2. Step 2: Convert to fraction form
    508.37/701.55 = 311.90/x
  3. Step 3: Cross multiply
    508.37x = 701.55 × 311.90
  4. Step 4: Simplify right side
    508.37x = 218,809.94
  5. Step 5: Solve for x
    x = 218,809.94/508.37
  6. Step 6: Final answer
    x = 430.42

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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.