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Finding the Fourth Proportional to 509.19, 763.66 and 144.01

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Solution

The fourth proportional to 509.19, 763.66 and 144.01 is: 215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 763.66 = 144.01 : x
  2. Step 2: Convert to fraction form
    509.19/763.66 = 144.01/x
  3. Step 3: Cross multiply
    509.19x = 763.66 × 144.01
  4. Step 4: Simplify right side
    509.19x = 109,974.68
  5. Step 5: Solve for x
    x = 109,974.68/509.19
  6. Step 6: Final answer
    x = 215.98

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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.