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Finding the Fourth Proportional to 507.60, 761.73 and 199.70

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Solution

The fourth proportional to 507.60, 761.73 and 199.70 is: 299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.60 : 761.73 = 199.70 : x
  2. Step 2: Convert to fraction form
    507.60/761.73 = 199.70/x
  3. Step 3: Cross multiply
    507.60x = 761.73 × 199.70
  4. Step 4: Simplify right side
    507.60x = 152,113.67
  5. Step 5: Solve for x
    x = 152,113.67/507.60
  6. Step 6: Final answer
    x = 299.67

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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.