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Finding the Fourth Proportional to 508.26, 762.40 and 143.05

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Solution

The fourth proportional to 508.26, 762.40 and 143.05 is: 214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.26 : 762.40 = 143.05 : x
  2. Step 2: Convert to fraction form
    508.26/762.40 = 143.05/x
  3. Step 3: Cross multiply
    508.26x = 762.40 × 143.05
  4. Step 4: Simplify right side
    508.26x = 109,060.22
  5. Step 5: Solve for x
    x = 109,060.22/508.26
  6. Step 6: Final answer
    x = 214.58

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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.