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Finding the Fourth Proportional to 508.45, 762.64 and 143.22

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Solution

The fourth proportional to 508.45, 762.64 and 143.22 is: 214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.45 : 762.64 = 143.22 : x
  2. Step 2: Convert to fraction form
    508.45/762.64 = 143.22/x
  3. Step 3: Cross multiply
    508.45x = 762.64 × 143.22
  4. Step 4: Simplify right side
    508.45x = 109,225.30
  5. Step 5: Solve for x
    x = 109,225.30/508.45
  6. Step 6: Final answer
    x = 214.82

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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.