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Finding the Fourth Proportional to 295.78, 443.62 and 100.77

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Solution

The fourth proportional to 295.78, 443.62 and 100.77 is: 151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.78 : 443.62 = 100.77 : x
  2. Step 2: Convert to fraction form
    295.78/443.62 = 100.77/x
  3. Step 3: Cross multiply
    295.78x = 443.62 × 100.77
  4. Step 4: Simplify right side
    295.78x = 44,703.59
  5. Step 5: Solve for x
    x = 44,703.59/295.78
  6. Step 6: Final answer
    x = 151.14

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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.