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Finding the Fourth Proportional to 260.63, 390.95 and 78.02

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Solution

The fourth proportional to 260.63, 390.95 and 78.02 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.63 : 390.95 = 78.02 : x
  2. Step 2: Convert to fraction form
    260.63/390.95 = 78.02/x
  3. Step 3: Cross multiply
    260.63x = 390.95 × 78.02
  4. Step 4: Simplify right side
    260.63x = 30,499.57
  5. Step 5: Solve for x
    x = 30,499.57/260.63
  6. Step 6: Final answer
    x = 117.02

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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.