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Finding the Fourth Proportional to 503.33, 754.90 and 138.07

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Solution

The fourth proportional to 503.33, 754.90 and 138.07 is: 207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.33 : 754.90 = 138.07 : x
  2. Step 2: Convert to fraction form
    503.33/754.90 = 138.07/x
  3. Step 3: Cross multiply
    503.33x = 754.90 × 138.07
  4. Step 4: Simplify right side
    503.33x = 104,228.35
  5. Step 5: Solve for x
    x = 104,228.35/503.33
  6. Step 6: Final answer
    x = 207.08

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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.