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Finding the Fourth Proportional to 345.21, 473.75 and 342.78

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Solution

The fourth proportional to 345.21, 473.75 and 342.78 is: 470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.21 : 473.75 = 342.78 : x
  2. Step 2: Convert to fraction form
    345.21/473.75 = 342.78/x
  3. Step 3: Cross multiply
    345.21x = 473.75 × 342.78
  4. Step 4: Simplify right side
    345.21x = 162,390.31
  5. Step 5: Solve for x
    x = 162,390.31/345.21
  6. Step 6: Final answer
    x = 470.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.