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Finding the Fourth Proportional to 260.12, 390.32 and 144.65

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Solution

The fourth proportional to 260.12, 390.32 and 144.65 is: 217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.12 : 390.32 = 144.65 : x
  2. Step 2: Convert to fraction form
    260.12/390.32 = 144.65/x
  3. Step 3: Cross multiply
    260.12x = 390.32 × 144.65
  4. Step 4: Simplify right side
    260.12x = 56,457.11
  5. Step 5: Solve for x
    x = 56,457.11/260.12
  6. Step 6: Final answer
    x = 217.05

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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.