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Finding the Fourth Proportional to 240.34, 360.39 and 78.00

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Solution

The fourth proportional to 240.34, 360.39 and 78.00 is: 116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.34 : 360.39 = 78.00 : x
  2. Step 2: Convert to fraction form
    240.34/360.39 = 78.00/x
  3. Step 3: Cross multiply
    240.34x = 360.39 × 78.00
  4. Step 4: Simplify right side
    240.34x = 28,111.52
  5. Step 5: Solve for x
    x = 28,111.52/240.34
  6. Step 6: Final answer
    x = 116.97

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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.