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Finding the Fourth Proportional to 293.63, 438.54 and 266.16

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Solution

The fourth proportional to 293.63, 438.54 and 266.16 is: 397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.63 : 438.54 = 266.16 : x
  2. Step 2: Convert to fraction form
    293.63/438.54 = 266.16/x
  3. Step 3: Cross multiply
    293.63x = 438.54 × 266.16
  4. Step 4: Simplify right side
    293.63x = 116,721.81
  5. Step 5: Solve for x
    x = 116,721.81/293.63
  6. Step 6: Final answer
    x = 397.51

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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.