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Finding the Fourth Proportional to 74.11, 102.23 and 45.00

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Solution

The fourth proportional to 74.11, 102.23 and 45.00 is: 62.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.11 : 102.23 = 45.00 : x
  2. Step 2: Convert to fraction form
    74.11/102.23 = 45.00/x
  3. Step 3: Cross multiply
    74.11x = 102.23 × 45.00
  4. Step 4: Simplify right side
    74.11x = 4,599.61
  5. Step 5: Solve for x
    x = 4,599.61/74.11
  6. Step 6: Final answer
    x = 62.07

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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.