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Finding the Fourth Proportional to 337.62, 503.60 and 286.58

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Solution

The fourth proportional to 337.62, 503.60 and 286.58 is: 427.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.62 : 503.60 = 286.58 : x
  2. Step 2: Convert to fraction form
    337.62/503.60 = 286.58/x
  3. Step 3: Cross multiply
    337.62x = 503.60 × 286.58
  4. Step 4: Simplify right side
    337.62x = 144,321.69
  5. Step 5: Solve for x
    x = 144,321.69/337.62
  6. Step 6: Final answer
    x = 427.47

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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.