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Finding the Fourth Proportional to 335, 502.71 and 142.63

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Solution

The fourth proportional to 335, 502.71 and 142.63 is: 214.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    335 : 502.71 = 142.63 : x
  2. Step 2: Convert to fraction form
    335/502.71 = 142.63/x
  3. Step 3: Cross multiply
    335x = 502.71 × 142.63
  4. Step 4: Simplify right side
    335x = 71,701.53
  5. Step 5: Solve for x
    x = 71,701.53/335
  6. Step 6: Final answer
    x = 214.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.