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Finding the Fourth Proportional to 431.42, 643.43 and 366.84

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Solution

The fourth proportional to 431.42, 643.43 and 366.84 is: 547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.42 : 643.43 = 366.84 : x
  2. Step 2: Convert to fraction form
    431.42/643.43 = 366.84/x
  3. Step 3: Cross multiply
    431.42x = 643.43 × 366.84
  4. Step 4: Simplify right side
    431.42x = 236,036.78
  5. Step 5: Solve for x
    x = 236,036.78/431.42
  6. Step 6: Final answer
    x = 547.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.