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Finding the Fourth Proportional to 345.75, 477.78 and 328.92

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Solution

The fourth proportional to 345.75, 477.78 and 328.92 is: 454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.75 : 477.78 = 328.92 : x
  2. Step 2: Convert to fraction form
    345.75/477.78 = 328.92/x
  3. Step 3: Cross multiply
    345.75x = 477.78 × 328.92
  4. Step 4: Simplify right side
    345.75x = 157,151.40
  5. Step 5: Solve for x
    x = 157,151.40/345.75
  6. Step 6: Final answer
    x = 454.52

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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.