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Finding the Fourth Proportional to 462.24, 692.98 and 202.05

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Solution

The fourth proportional to 462.24, 692.98 and 202.05 is: 302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.24 : 692.98 = 202.05 : x
  2. Step 2: Convert to fraction form
    462.24/692.98 = 202.05/x
  3. Step 3: Cross multiply
    462.24x = 692.98 × 202.05
  4. Step 4: Simplify right side
    462.24x = 140,016.10
  5. Step 5: Solve for x
    x = 140,016.10/462.24
  6. Step 6: Final answer
    x = 302.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.