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Finding the Fourth Proportional to 337.37, 504.07 and 258.85

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Solution

The fourth proportional to 337.37, 504.07 and 258.85 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.37 : 504.07 = 258.85 : x
  2. Step 2: Convert to fraction form
    337.37/504.07 = 258.85/x
  3. Step 3: Cross multiply
    337.37x = 504.07 × 258.85
  4. Step 4: Simplify right side
    337.37x = 130,477.12
  5. Step 5: Solve for x
    x = 130,477.12/337.37
  6. Step 6: Final answer
    x = 386.75

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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.