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Finding the Fourth Proportional to 337.64, 464.85 and 290.93

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Solution

The fourth proportional to 337.64, 464.85 and 290.93 is: 400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.64 : 464.85 = 290.93 : x
  2. Step 2: Convert to fraction form
    337.64/464.85 = 290.93/x
  3. Step 3: Cross multiply
    337.64x = 464.85 × 290.93
  4. Step 4: Simplify right side
    337.64x = 135,236.49
  5. Step 5: Solve for x
    x = 135,236.49/337.64
  6. Step 6: Final answer
    x = 400.54

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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.