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Finding the Fourth Proportional to 53.29, 73.54 and 29.98

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Solution

The fourth proportional to 53.29, 73.54 and 29.98 is: 41.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.29 : 73.54 = 29.98 : x
  2. Step 2: Convert to fraction form
    53.29/73.54 = 29.98/x
  3. Step 3: Cross multiply
    53.29x = 73.54 × 29.98
  4. Step 4: Simplify right side
    53.29x = 2,204.86
  5. Step 5: Solve for x
    x = 2,204.86/53.29
  6. Step 6: Final answer
    x = 41.37

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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.