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Finding the Fourth Proportional to 370.90, 511.86 and 213.56

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Solution

The fourth proportional to 370.90, 511.86 and 213.56 is: 294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.90 : 511.86 = 213.56 : x
  2. Step 2: Convert to fraction form
    370.90/511.86 = 213.56/x
  3. Step 3: Cross multiply
    370.90x = 511.86 × 213.56
  4. Step 4: Simplify right side
    370.90x = 109,312.82
  5. Step 5: Solve for x
    x = 109,312.82/370.90
  6. Step 6: Final answer
    x = 294.72

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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.