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Finding the Fourth Proportional to 260.15, 390.29 and 144.54

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Solution

The fourth proportional to 260.15, 390.29 and 144.54 is: 216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.15 : 390.29 = 144.54 : x
  2. Step 2: Convert to fraction form
    260.15/390.29 = 144.54/x
  3. Step 3: Cross multiply
    260.15x = 390.29 × 144.54
  4. Step 4: Simplify right side
    260.15x = 56,411.79
  5. Step 5: Solve for x
    x = 56,411.79/260.15
  6. Step 6: Final answer
    x = 216.84

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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.