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Finding the Fourth Proportional to 266.95, 398.41 and 260.03

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Solution

The fourth proportional to 266.95, 398.41 and 260.03 is: 388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.95 : 398.41 = 260.03 : x
  2. Step 2: Convert to fraction form
    266.95/398.41 = 260.03/x
  3. Step 3: Cross multiply
    266.95x = 398.41 × 260.03
  4. Step 4: Simplify right side
    266.95x = 103,596.80
  5. Step 5: Solve for x
    x = 103,596.80/266.95
  6. Step 6: Final answer
    x = 388.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.