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Finding the Fourth Proportional to 74.67, 111.95 and 53.00

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Solution

The fourth proportional to 74.67, 111.95 and 53.00 is: 79.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.67 : 111.95 = 53.00 : x
  2. Step 2: Convert to fraction form
    74.67/111.95 = 53.00/x
  3. Step 3: Cross multiply
    74.67x = 111.95 × 53.00
  4. Step 4: Simplify right side
    74.67x = 5,933.14
  5. Step 5: Solve for x
    x = 5,933.14/74.67
  6. Step 6: Final answer
    x = 79.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.