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Finding the Fourth Proportional to 260.19, 390.30 and 98.07

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Solution

The fourth proportional to 260.19, 390.30 and 98.07 is: 147.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.19 : 390.30 = 98.07 : x
  2. Step 2: Convert to fraction form
    260.19/390.30 = 98.07/x
  3. Step 3: Cross multiply
    260.19x = 390.30 × 98.07
  4. Step 4: Simplify right side
    260.19x = 38,276.72
  5. Step 5: Solve for x
    x = 38,276.72/260.19
  6. Step 6: Final answer
    x = 147.11

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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.