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Finding the Fourth Proportional to 499.51, 749.01 and 291.34

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Solution

The fourth proportional to 499.51, 749.01 and 291.34 is: 436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.51 : 749.01 = 291.34 : x
  2. Step 2: Convert to fraction form
    499.51/749.01 = 291.34/x
  3. Step 3: Cross multiply
    499.51x = 749.01 × 291.34
  4. Step 4: Simplify right side
    499.51x = 218,211.37
  5. Step 5: Solve for x
    x = 218,211.37/499.51
  6. Step 6: Final answer
    x = 436.86

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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.