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Finding the Fourth Proportional to 507.40, 761.00 and 142.19

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Solution

The fourth proportional to 507.40, 761.00 and 142.19 is: 213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.40 : 761.00 = 142.19 : x
  2. Step 2: Convert to fraction form
    507.40/761.00 = 142.19/x
  3. Step 3: Cross multiply
    507.40x = 761.00 × 142.19
  4. Step 4: Simplify right side
    507.40x = 108,204.93
  5. Step 5: Solve for x
    x = 108,204.93/507.40
  6. Step 6: Final answer
    x = 213.25

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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.