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Finding the Fourth Proportional to 345.20, 476.61 and 214.40

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Solution

The fourth proportional to 345.20, 476.61 and 214.40 is: 296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.20 : 476.61 = 214.40 : x
  2. Step 2: Convert to fraction form
    345.20/476.61 = 214.40/x
  3. Step 3: Cross multiply
    345.20x = 476.61 × 214.40
  4. Step 4: Simplify right side
    345.20x = 102,185.18
  5. Step 5: Solve for x
    x = 102,185.18/345.20
  6. Step 6: Final answer
    x = 296.02

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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.