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Finding the Fourth Proportional to 35.84, 53.54 and 29.39

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Solution

The fourth proportional to 35.84, 53.54 and 29.39 is: 43.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.84 : 53.54 = 29.39 : x
  2. Step 2: Convert to fraction form
    35.84/53.54 = 29.39/x
  3. Step 3: Cross multiply
    35.84x = 53.54 × 29.39
  4. Step 4: Simplify right side
    35.84x = 1,573.30
  5. Step 5: Solve for x
    x = 1,573.30/35.84
  6. Step 6: Final answer
    x = 43.89

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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.