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Finding the Fourth Proportional to 427.95, 590.91 and 262.25

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Solution

The fourth proportional to 427.95, 590.91 and 262.25 is: 362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.95 : 590.91 = 262.25 : x
  2. Step 2: Convert to fraction form
    427.95/590.91 = 262.25/x
  3. Step 3: Cross multiply
    427.95x = 590.91 × 262.25
  4. Step 4: Simplify right side
    427.95x = 154,963.19
  5. Step 5: Solve for x
    x = 154,963.19/427.95
  6. Step 6: Final answer
    x = 362.11

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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.