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Finding the Fourth Proportional to 509.02, 763.53 and 143.80

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Solution

The fourth proportional to 509.02, 763.53 and 143.80 is: 215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.02 : 763.53 = 143.80 : x
  2. Step 2: Convert to fraction form
    509.02/763.53 = 143.80/x
  3. Step 3: Cross multiply
    509.02x = 763.53 × 143.80
  4. Step 4: Simplify right side
    509.02x = 109,795.61
  5. Step 5: Solve for x
    x = 109,795.61/509.02
  6. Step 6: Final answer
    x = 215.70

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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.