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Finding the Fourth Proportional to 260.02, 390.04 and 65.02

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Solution

The fourth proportional to 260.02, 390.04 and 65.02 is: 97.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.02 : 390.04 = 65.02 : x
  2. Step 2: Convert to fraction form
    260.02/390.04 = 65.02/x
  3. Step 3: Cross multiply
    260.02x = 390.04 × 65.02
  4. Step 4: Simplify right side
    260.02x = 25,360.60
  5. Step 5: Solve for x
    x = 25,360.60/260.02
  6. Step 6: Final answer
    x = 97.53

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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.