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Finding the Fourth Proportional to 145.78, 218.61 and 49.57

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Solution

The fourth proportional to 145.78, 218.61 and 49.57 is: 74.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.78 : 218.61 = 49.57 : x
  2. Step 2: Convert to fraction form
    145.78/218.61 = 49.57/x
  3. Step 3: Cross multiply
    145.78x = 218.61 × 49.57
  4. Step 4: Simplify right side
    145.78x = 10,836.50
  5. Step 5: Solve for x
    x = 10,836.50/145.78
  6. Step 6: Final answer
    x = 74.33

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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.