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Finding the Fourth Proportional to 337.62, 504.60 and 288.87

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Solution

The fourth proportional to 337.62, 504.60 and 288.87 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.62 : 504.60 = 288.87 : x
  2. Step 2: Convert to fraction form
    337.62/504.60 = 288.87/x
  3. Step 3: Cross multiply
    337.62x = 504.60 × 288.87
  4. Step 4: Simplify right side
    337.62x = 145,763.26
  5. Step 5: Solve for x
    x = 145,763.26/337.62
  6. Step 6: Final answer
    x = 431.74

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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.