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Finding the Fourth Proportional to 502.30, 693.18 and 292.48

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Solution

The fourth proportional to 502.30, 693.18 and 292.48 is: 403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.30 : 693.18 = 292.48 : x
  2. Step 2: Convert to fraction form
    502.30/693.18 = 292.48/x
  3. Step 3: Cross multiply
    502.30x = 693.18 × 292.48
  4. Step 4: Simplify right side
    502.30x = 202,741.06
  5. Step 5: Solve for x
    x = 202,741.06/502.30
  6. Step 6: Final answer
    x = 403.62

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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.