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Finding the Fourth Proportional to 264.15, 364.53 and 147.71

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Solution

The fourth proportional to 264.15, 364.53 and 147.71 is: 203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.15 : 364.53 = 147.71 : x
  2. Step 2: Convert to fraction form
    264.15/364.53 = 147.71/x
  3. Step 3: Cross multiply
    264.15x = 364.53 × 147.71
  4. Step 4: Simplify right side
    264.15x = 53,846.60
  5. Step 5: Solve for x
    x = 53,846.60/264.15
  6. Step 6: Final answer
    x = 203.85

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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.