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Finding the Fourth Proportional to 74.08, 102.24 and 42.58

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Solution

The fourth proportional to 74.08, 102.24 and 42.58 is: 58.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.08 : 102.24 = 42.58 : x
  2. Step 2: Convert to fraction form
    74.08/102.24 = 42.58/x
  3. Step 3: Cross multiply
    74.08x = 102.24 × 42.58
  4. Step 4: Simplify right side
    74.08x = 4,353.63
  5. Step 5: Solve for x
    x = 4,353.63/74.08
  6. Step 6: Final answer
    x = 58.77

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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.