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Finding the Fourth Proportional to 45.49, 62.77 and 29.11

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Solution

The fourth proportional to 45.49, 62.77 and 29.11 is: 40.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.49 : 62.77 = 29.11 : x
  2. Step 2: Convert to fraction form
    45.49/62.77 = 29.11/x
  3. Step 3: Cross multiply
    45.49x = 62.77 × 29.11
  4. Step 4: Simplify right side
    45.49x = 1,827.23
  5. Step 5: Solve for x
    x = 1,827.23/45.49
  6. Step 6: Final answer
    x = 40.17

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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.