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Finding the Fourth Proportional to 263.89, 364.13 and 153.35

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Solution

The fourth proportional to 263.89, 364.13 and 153.35 is: 211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.89 : 364.13 = 153.35 : x
  2. Step 2: Convert to fraction form
    263.89/364.13 = 153.35/x
  3. Step 3: Cross multiply
    263.89x = 364.13 × 153.35
  4. Step 4: Simplify right side
    263.89x = 55,837.51
  5. Step 5: Solve for x
    x = 55,837.51/263.89
  6. Step 6: Final answer
    x = 211.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.