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Finding the Fourth Proportional to 74.77, 103.16 and 42.02

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Solution

The fourth proportional to 74.77, 103.16 and 42.02 is: 57.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.77 : 103.16 = 42.02 : x
  2. Step 2: Convert to fraction form
    74.77/103.16 = 42.02/x
  3. Step 3: Cross multiply
    74.77x = 103.16 × 42.02
  4. Step 4: Simplify right side
    74.77x = 4,335.15
  5. Step 5: Solve for x
    x = 4,335.15/74.77
  6. Step 6: Final answer
    x = 57.98

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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.