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Finding the Fourth Proportional to 293.46, 438.01 and 258.86

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Solution

The fourth proportional to 293.46, 438.01 and 258.86 is: 386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.46 : 438.01 = 258.86 : x
  2. Step 2: Convert to fraction form
    293.46/438.01 = 258.86/x
  3. Step 3: Cross multiply
    293.46x = 438.01 × 258.86
  4. Step 4: Simplify right side
    293.46x = 113,385.17
  5. Step 5: Solve for x
    x = 113,385.17/293.46
  6. Step 6: Final answer
    x = 386.38

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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.