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Finding the Fourth Proportional to 293.37, 437.90 and 258.77

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Solution

The fourth proportional to 293.37, 437.90 and 258.77 is: 386.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.37 : 437.90 = 258.77 : x
  2. Step 2: Convert to fraction form
    293.37/437.90 = 258.77/x
  3. Step 3: Cross multiply
    293.37x = 437.90 × 258.77
  4. Step 4: Simplify right side
    293.37x = 113,315.38
  5. Step 5: Solve for x
    x = 113,315.38/293.37
  6. Step 6: Final answer
    x = 386.26

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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.