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Finding the Fourth Proportional to 421.58, 581.62 and 264.15

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Solution

The fourth proportional to 421.58, 581.62 and 264.15 is: 364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.58 : 581.62 = 264.15 : x
  2. Step 2: Convert to fraction form
    421.58/581.62 = 264.15/x
  3. Step 3: Cross multiply
    421.58x = 581.62 × 264.15
  4. Step 4: Simplify right side
    421.58x = 153,634.92
  5. Step 5: Solve for x
    x = 153,634.92/421.58
  6. Step 6: Final answer
    x = 364.43

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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.