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Finding the Fourth Proportional to 502.28, 693.18 and 295.28

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Solution

The fourth proportional to 502.28, 693.18 and 295.28 is: 407.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.28 : 693.18 = 295.28 : x
  2. Step 2: Convert to fraction form
    502.28/693.18 = 295.28/x
  3. Step 3: Cross multiply
    502.28x = 693.18 × 295.28
  4. Step 4: Simplify right side
    502.28x = 204,682.19
  5. Step 5: Solve for x
    x = 204,682.19/502.28
  6. Step 6: Final answer
    x = 407.51

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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.