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Finding the Fourth Proportional to 508.12, 759.40 and 370.24

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Solution

The fourth proportional to 508.12, 759.40 and 370.24 is: 553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.12 : 759.40 = 370.24 : x
  2. Step 2: Convert to fraction form
    508.12/759.40 = 370.24/x
  3. Step 3: Cross multiply
    508.12x = 759.40 × 370.24
  4. Step 4: Simplify right side
    508.12x = 281,160.26
  5. Step 5: Solve for x
    x = 281,160.26/508.12
  6. Step 6: Final answer
    x = 553.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.