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Finding the Fourth Proportional to 508.11, 701.13 and 311.67

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Solution

The fourth proportional to 508.11, 701.13 and 311.67 is: 430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.11 : 701.13 = 311.67 : x
  2. Step 2: Convert to fraction form
    508.11/701.13 = 311.67/x
  3. Step 3: Cross multiply
    508.11x = 701.13 × 311.67
  4. Step 4: Simplify right side
    508.11x = 218,521.19
  5. Step 5: Solve for x
    x = 218,521.19/508.11
  6. Step 6: Final answer
    x = 430.07

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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.