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Finding the Fourth Proportional to 502.21, 692.98 and 313.21

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Solution

The fourth proportional to 502.21, 692.98 and 313.21 is: 432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.21 : 692.98 = 313.21 : x
  2. Step 2: Convert to fraction form
    502.21/692.98 = 313.21/x
  3. Step 3: Cross multiply
    502.21x = 692.98 × 313.21
  4. Step 4: Simplify right side
    502.21x = 217,048.27
  5. Step 5: Solve for x
    x = 217,048.27/502.21
  6. Step 6: Final answer
    x = 432.19

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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.