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Finding the Fourth Proportional to 342.41, 472.43 and 202.53

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Solution

The fourth proportional to 342.41, 472.43 and 202.53 is: 279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.41 : 472.43 = 202.53 : x
  2. Step 2: Convert to fraction form
    342.41/472.43 = 202.53/x
  3. Step 3: Cross multiply
    342.41x = 472.43 × 202.53
  4. Step 4: Simplify right side
    342.41x = 95,681.25
  5. Step 5: Solve for x
    x = 95,681.25/342.41
  6. Step 6: Final answer
    x = 279.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.