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Finding the Fourth Proportional to 345.48, 476.48 and 234.78

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Solution

The fourth proportional to 345.48, 476.48 and 234.78 is: 323.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.48 : 476.48 = 234.78 : x
  2. Step 2: Convert to fraction form
    345.48/476.48 = 234.78/x
  3. Step 3: Cross multiply
    345.48x = 476.48 × 234.78
  4. Step 4: Simplify right side
    345.48x = 111,866.80
  5. Step 5: Solve for x
    x = 111,866.80/345.48
  6. Step 6: Final answer
    x = 323.80

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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.