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Finding the Fourth Proportional to 293.10, 438.84 and 148.11

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Solution

The fourth proportional to 293.10, 438.84 and 148.11 is: 221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.10 : 438.84 = 148.11 : x
  2. Step 2: Convert to fraction form
    293.10/438.84 = 148.11/x
  3. Step 3: Cross multiply
    293.10x = 438.84 × 148.11
  4. Step 4: Simplify right side
    293.10x = 64,996.59
  5. Step 5: Solve for x
    x = 64,996.59/293.10
  6. Step 6: Final answer
    x = 221.76

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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.