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Finding the Fourth Proportional to 342.40, 472.55 and 202.57

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Solution

The fourth proportional to 342.40, 472.55 and 202.57 is: 279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.40 : 472.55 = 202.57 : x
  2. Step 2: Convert to fraction form
    342.40/472.55 = 202.57/x
  3. Step 3: Cross multiply
    342.40x = 472.55 × 202.57
  4. Step 4: Simplify right side
    342.40x = 95,721.08
  5. Step 5: Solve for x
    x = 95,721.08/342.40
  6. Step 6: Final answer
    x = 279.56

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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.