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Finding the Fourth Proportional to 74.95, 103.14 and 65.77

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Solution

The fourth proportional to 74.95, 103.14 and 65.77 is: 90.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.95 : 103.14 = 65.77 : x
  2. Step 2: Convert to fraction form
    74.95/103.14 = 65.77/x
  3. Step 3: Cross multiply
    74.95x = 103.14 × 65.77
  4. Step 4: Simplify right side
    74.95x = 6,783.52
  5. Step 5: Solve for x
    x = 6,783.52/74.95
  6. Step 6: Final answer
    x = 90.51

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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.