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Finding the Fourth Proportional to 295.19, 442.78 and 78.77

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Solution

The fourth proportional to 295.19, 442.78 and 78.77 is: 118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.19 : 442.78 = 78.77 : x
  2. Step 2: Convert to fraction form
    295.19/442.78 = 78.77/x
  3. Step 3: Cross multiply
    295.19x = 442.78 × 78.77
  4. Step 4: Simplify right side
    295.19x = 34,877.78
  5. Step 5: Solve for x
    x = 34,877.78/295.19
  6. Step 6: Final answer
    x = 118.15

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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.