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Finding the Fourth Proportional to 45.49, 62.77 and 29.14

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Solution

The fourth proportional to 45.49, 62.77 and 29.14 is: 40.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.49 : 62.77 = 29.14 : x
  2. Step 2: Convert to fraction form
    45.49/62.77 = 29.14/x
  3. Step 3: Cross multiply
    45.49x = 62.77 × 29.14
  4. Step 4: Simplify right side
    45.49x = 1,829.12
  5. Step 5: Solve for x
    x = 1,829.12/45.49
  6. Step 6: Final answer
    x = 40.21

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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.