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Finding the Fourth Proportional to 345.52, 476.70 and 214.48

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Solution

The fourth proportional to 345.52, 476.70 and 214.48 is: 295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.52 : 476.70 = 214.48 : x
  2. Step 2: Convert to fraction form
    345.52/476.70 = 214.48/x
  3. Step 3: Cross multiply
    345.52x = 476.70 × 214.48
  4. Step 4: Simplify right side
    345.52x = 102,242.62
  5. Step 5: Solve for x
    x = 102,242.62/345.52
  6. Step 6: Final answer
    x = 295.91

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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.