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Finding the Fourth Proportional to 442.77, 611.10 and 268.14

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Solution

The fourth proportional to 442.77, 611.10 and 268.14 is: 370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.77 : 611.10 = 268.14 : x
  2. Step 2: Convert to fraction form
    442.77/611.10 = 268.14/x
  3. Step 3: Cross multiply
    442.77x = 611.10 × 268.14
  4. Step 4: Simplify right side
    442.77x = 163,860.35
  5. Step 5: Solve for x
    x = 163,860.35/442.77
  6. Step 6: Final answer
    x = 370.08

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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.