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Finding the Fourth Proportional to 293.16, 438.72 and 266.91

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Solution

The fourth proportional to 293.16, 438.72 and 266.91 is: 399.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 438.72 = 266.91 : x
  2. Step 2: Convert to fraction form
    293.16/438.72 = 266.91/x
  3. Step 3: Cross multiply
    293.16x = 438.72 × 266.91
  4. Step 4: Simplify right side
    293.16x = 117,098.76
  5. Step 5: Solve for x
    x = 117,098.76/293.16
  6. Step 6: Final answer
    x = 399.44

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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.