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Finding the Fourth Proportional to 370.22, 510.82 and 214.88

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Solution

The fourth proportional to 370.22, 510.82 and 214.88 is: 296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.22 : 510.82 = 214.88 : x
  2. Step 2: Convert to fraction form
    370.22/510.82 = 214.88/x
  3. Step 3: Cross multiply
    370.22x = 510.82 × 214.88
  4. Step 4: Simplify right side
    370.22x = 109,761.37
  5. Step 5: Solve for x
    x = 109,761.37/370.22
  6. Step 6: Final answer
    x = 296.48

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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.