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Finding the Fourth Proportional to 370.79, 511.71 and 213.45

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Solution

The fourth proportional to 370.79, 511.71 and 213.45 is: 294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.79 : 511.71 = 213.45 : x
  2. Step 2: Convert to fraction form
    370.79/511.71 = 213.45/x
  3. Step 3: Cross multiply
    370.79x = 511.71 × 213.45
  4. Step 4: Simplify right side
    370.79x = 109,224.50
  5. Step 5: Solve for x
    x = 109,224.50/370.79
  6. Step 6: Final answer
    x = 294.58

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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.