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Finding the Fourth Proportional to 462.21, 692.85 and 188.13

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Solution

The fourth proportional to 462.21, 692.85 and 188.13 is: 282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.21 : 692.85 = 188.13 : x
  2. Step 2: Convert to fraction form
    462.21/692.85 = 188.13/x
  3. Step 3: Cross multiply
    462.21x = 692.85 × 188.13
  4. Step 4: Simplify right side
    462.21x = 130,345.87
  5. Step 5: Solve for x
    x = 130,345.87/462.21
  6. Step 6: Final answer
    x = 282.01

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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.