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Finding the Fourth Proportional to 504.01, 756.02 and 138.80

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Solution

The fourth proportional to 504.01, 756.02 and 138.80 is: 208.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.01 : 756.02 = 138.80 : x
  2. Step 2: Convert to fraction form
    504.01/756.02 = 138.80/x
  3. Step 3: Cross multiply
    504.01x = 756.02 × 138.80
  4. Step 4: Simplify right side
    504.01x = 104,935.58
  5. Step 5: Solve for x
    x = 104,935.58/504.01
  6. Step 6: Final answer
    x = 208.20

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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.