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Finding the Fourth Proportional to 292.13, 438.24 and 201.00

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Solution

The fourth proportional to 292.13, 438.24 and 201.00 is: 301.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.13 : 438.24 = 201.00 : x
  2. Step 2: Convert to fraction form
    292.13/438.24 = 201.00/x
  3. Step 3: Cross multiply
    292.13x = 438.24 × 201.00
  4. Step 4: Simplify right side
    292.13x = 88,088.64
  5. Step 5: Solve for x
    x = 88,088.64/292.13
  6. Step 6: Final answer
    x = 301.54

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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.