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Finding the Fourth Proportional to 345.69, 476.80 and 330.17

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Solution

The fourth proportional to 345.69, 476.80 and 330.17 is: 455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.69 : 476.80 = 330.17 : x
  2. Step 2: Convert to fraction form
    345.69/476.80 = 330.17/x
  3. Step 3: Cross multiply
    345.69x = 476.80 × 330.17
  4. Step 4: Simplify right side
    345.69x = 157,421.85
  5. Step 5: Solve for x
    x = 157,421.85/345.69
  6. Step 6: Final answer
    x = 455.38

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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.