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Finding the Fourth Proportional to 421.37, 581.77 and 264.24

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Solution

The fourth proportional to 421.37, 581.77 and 264.24 is: 364.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.37 : 581.77 = 264.24 : x
  2. Step 2: Convert to fraction form
    421.37/581.77 = 264.24/x
  3. Step 3: Cross multiply
    421.37x = 581.77 × 264.24
  4. Step 4: Simplify right side
    421.37x = 153,726.90
  5. Step 5: Solve for x
    x = 153,726.90/421.37
  6. Step 6: Final answer
    x = 364.83

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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.