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Finding the Fourth Proportional to 342.66, 472.54 and 218.10

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Solution

The fourth proportional to 342.66, 472.54 and 218.10 is: 300.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.66 : 472.54 = 218.10 : x
  2. Step 2: Convert to fraction form
    342.66/472.54 = 218.10/x
  3. Step 3: Cross multiply
    342.66x = 472.54 × 218.10
  4. Step 4: Simplify right side
    342.66x = 103,060.97
  5. Step 5: Solve for x
    x = 103,060.97/342.66
  6. Step 6: Final answer
    x = 300.77

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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.