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Finding the Fourth Proportional to 293.47, 405.49 and 256.57

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Solution

The fourth proportional to 293.47, 405.49 and 256.57 is: 354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.47 : 405.49 = 256.57 : x
  2. Step 2: Convert to fraction form
    293.47/405.49 = 256.57/x
  3. Step 3: Cross multiply
    293.47x = 405.49 × 256.57
  4. Step 4: Simplify right side
    293.47x = 104,037.21
  5. Step 5: Solve for x
    x = 104,037.21/293.47
  6. Step 6: Final answer
    x = 354.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.