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Finding the Fourth Proportional to 436.64, 655.16 and 231.35

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Solution

The fourth proportional to 436.64, 655.16 and 231.35 is: 347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.64 : 655.16 = 231.35 : x
  2. Step 2: Convert to fraction form
    436.64/655.16 = 231.35/x
  3. Step 3: Cross multiply
    436.64x = 655.16 × 231.35
  4. Step 4: Simplify right side
    436.64x = 151,566.83
  5. Step 5: Solve for x
    x = 151,566.83/436.64
  6. Step 6: Final answer
    x = 347.12

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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.