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Finding the Fourth Proportional to 437.51, 655.80 and 231.87

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Solution

The fourth proportional to 437.51, 655.80 and 231.87 is: 347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.51 : 655.80 = 231.87 : x
  2. Step 2: Convert to fraction form
    437.51/655.80 = 231.87/x
  3. Step 3: Cross multiply
    437.51x = 655.80 × 231.87
  4. Step 4: Simplify right side
    437.51x = 152,061.22
  5. Step 5: Solve for x
    x = 152,061.22/437.51
  6. Step 6: Final answer
    x = 347.56

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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.