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Finding the Fourth Proportional to 293.71, 438.52 and 264.55

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Solution

The fourth proportional to 293.71, 438.52 and 264.55 is: 394.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.71 : 438.52 = 264.55 : x
  2. Step 2: Convert to fraction form
    293.71/438.52 = 264.55/x
  3. Step 3: Cross multiply
    293.71x = 438.52 × 264.55
  4. Step 4: Simplify right side
    293.71x = 116,008.05
  5. Step 5: Solve for x
    x = 116,008.05/293.71
  6. Step 6: Final answer
    x = 394.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.