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Finding the Fourth Proportional to 509.13, 763.70 and 212.67

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Solution

The fourth proportional to 509.13, 763.70 and 212.67 is: 319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.13 : 763.70 = 212.67 : x
  2. Step 2: Convert to fraction form
    509.13/763.70 = 212.67/x
  3. Step 3: Cross multiply
    509.13x = 763.70 × 212.67
  4. Step 4: Simplify right side
    509.13x = 162,415.02
  5. Step 5: Solve for x
    x = 162,415.02/509.13
  6. Step 6: Final answer
    x = 319.01

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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.