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Finding the Fourth Proportional to 78.30, 117.31 and 49.48

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Solution

The fourth proportional to 78.30, 117.31 and 49.48 is: 74.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.30 : 117.31 = 49.48 : x
  2. Step 2: Convert to fraction form
    78.30/117.31 = 49.48/x
  3. Step 3: Cross multiply
    78.30x = 117.31 × 49.48
  4. Step 4: Simplify right side
    78.30x = 5,803.66
  5. Step 5: Solve for x
    x = 5,803.66/78.30
  6. Step 6: Final answer
    x = 74.13

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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.