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Finding the Fourth Proportional to 442.90, 611.16 and 268.24

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Solution

The fourth proportional to 442.90, 611.16 and 268.24 is: 370.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.90 : 611.16 = 268.24 : x
  2. Step 2: Convert to fraction form
    442.90/611.16 = 268.24/x
  3. Step 3: Cross multiply
    442.90x = 611.16 × 268.24
  4. Step 4: Simplify right side
    442.90x = 163,937.56
  5. Step 5: Solve for x
    x = 163,937.56/442.90
  6. Step 6: Final answer
    x = 370.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.