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Finding the Fourth Proportional to 345.15, 476.13 and 212.33

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Solution

The fourth proportional to 345.15, 476.13 and 212.33 is: 292.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.15 : 476.13 = 212.33 : x
  2. Step 2: Convert to fraction form
    345.15/476.13 = 212.33/x
  3. Step 3: Cross multiply
    345.15x = 476.13 × 212.33
  4. Step 4: Simplify right side
    345.15x = 101,094.30
  5. Step 5: Solve for x
    x = 101,094.30/345.15
  6. Step 6: Final answer
    x = 292.90

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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.