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Finding the Fourth Proportional to 502.16, 693.05 and 305.75

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Solution

The fourth proportional to 502.16, 693.05 and 305.75 is: 421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.16 : 693.05 = 305.75 : x
  2. Step 2: Convert to fraction form
    502.16/693.05 = 305.75/x
  3. Step 3: Cross multiply
    502.16x = 693.05 × 305.75
  4. Step 4: Simplify right side
    502.16x = 211,900.24
  5. Step 5: Solve for x
    x = 211,900.24/502.16
  6. Step 6: Final answer
    x = 421.98

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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.