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Finding the Fourth Proportional to 260.10, 390.13 and 75.02

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Solution

The fourth proportional to 260.10, 390.13 and 75.02 is: 112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.10 : 390.13 = 75.02 : x
  2. Step 2: Convert to fraction form
    260.10/390.13 = 75.02/x
  3. Step 3: Cross multiply
    260.10x = 390.13 × 75.02
  4. Step 4: Simplify right side
    260.10x = 29,267.55
  5. Step 5: Solve for x
    x = 29,267.55/260.10
  6. Step 6: Final answer
    x = 112.52

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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.