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Finding the Fourth Proportional to 264.00, 364.31 and 145.98

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Solution

The fourth proportional to 264.00, 364.31 and 145.98 is: 201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.00 : 364.31 = 145.98 : x
  2. Step 2: Convert to fraction form
    264.00/364.31 = 145.98/x
  3. Step 3: Cross multiply
    264.00x = 364.31 × 145.98
  4. Step 4: Simplify right side
    264.00x = 53,181.61
  5. Step 5: Solve for x
    x = 53,181.61/264.00
  6. Step 6: Final answer
    x = 201.45

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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.