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Finding the Fourth Proportional to 429.51, 644.27 and 236.55

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Solution

The fourth proportional to 429.51, 644.27 and 236.55 is: 354.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.51 : 644.27 = 236.55 : x
  2. Step 2: Convert to fraction form
    429.51/644.27 = 236.55/x
  3. Step 3: Cross multiply
    429.51x = 644.27 × 236.55
  4. Step 4: Simplify right side
    429.51x = 152,400.89
  5. Step 5: Solve for x
    x = 152,400.89/429.51
  6. Step 6: Final answer
    x = 354.83

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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.