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Finding the Fourth Proportional to 370.28, 510.95 and 204.50

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Solution

The fourth proportional to 370.28, 510.95 and 204.50 is: 282.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.28 : 510.95 = 204.50 : x
  2. Step 2: Convert to fraction form
    370.28/510.95 = 204.50/x
  3. Step 3: Cross multiply
    370.28x = 510.95 × 204.50
  4. Step 4: Simplify right side
    370.28x = 104,489.28
  5. Step 5: Solve for x
    x = 104,489.28/370.28
  6. Step 6: Final answer
    x = 282.19

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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.