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Finding the Fourth Proportional to 507.20, 760.81 and 141.99

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Solution

The fourth proportional to 507.20, 760.81 and 141.99 is: 212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.20 : 760.81 = 141.99 : x
  2. Step 2: Convert to fraction form
    507.20/760.81 = 141.99/x
  3. Step 3: Cross multiply
    507.20x = 760.81 × 141.99
  4. Step 4: Simplify right side
    507.20x = 108,030.89
  5. Step 5: Solve for x
    x = 108,030.89/507.20
  6. Step 6: Final answer
    x = 212.99

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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.