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Finding the Fourth Proportional to 335.62, 501.35 and 283.72

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Solution

The fourth proportional to 335.62, 501.35 and 283.72 is: 423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.62 : 501.35 = 283.72 : x
  2. Step 2: Convert to fraction form
    335.62/501.35 = 283.72/x
  3. Step 3: Cross multiply
    335.62x = 501.35 × 283.72
  4. Step 4: Simplify right side
    335.62x = 142,243.02
  5. Step 5: Solve for x
    x = 142,243.02/335.62
  6. Step 6: Final answer
    x = 423.82

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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.