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Finding the Fourth Proportional to 74.95, 112.46 and 42.89

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Solution

The fourth proportional to 74.95, 112.46 and 42.89 is: 64.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.95 : 112.46 = 42.89 : x
  2. Step 2: Convert to fraction form
    74.95/112.46 = 42.89/x
  3. Step 3: Cross multiply
    74.95x = 112.46 × 42.89
  4. Step 4: Simplify right side
    74.95x = 4,823.63
  5. Step 5: Solve for x
    x = 4,823.63/74.95
  6. Step 6: Final answer
    x = 64.36

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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.