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Finding the Fourth Proportional to 427.61, 590.73 and 366.08

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Solution

The fourth proportional to 427.61, 590.73 and 366.08 is: 505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.61 : 590.73 = 366.08 : x
  2. Step 2: Convert to fraction form
    427.61/590.73 = 366.08/x
  3. Step 3: Cross multiply
    427.61x = 590.73 × 366.08
  4. Step 4: Simplify right side
    427.61x = 216,254.44
  5. Step 5: Solve for x
    x = 216,254.44/427.61
  6. Step 6: Final answer
    x = 505.73

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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.