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Finding the Fourth Proportional to 500.01, 749.40 and 304.39

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Solution

The fourth proportional to 500.01, 749.40 and 304.39 is: 456.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.01 : 749.40 = 304.39 : x
  2. Step 2: Convert to fraction form
    500.01/749.40 = 304.39/x
  3. Step 3: Cross multiply
    500.01x = 749.40 × 304.39
  4. Step 4: Simplify right side
    500.01x = 228,111.37
  5. Step 5: Solve for x
    x = 228,111.37/500.01
  6. Step 6: Final answer
    x = 456.22

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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.