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Finding the Fourth Proportional to 421.57, 581.56 and 328.15

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Solution

The fourth proportional to 421.57, 581.56 and 328.15 is: 452.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.57 : 581.56 = 328.15 : x
  2. Step 2: Convert to fraction form
    421.57/581.56 = 328.15/x
  3. Step 3: Cross multiply
    421.57x = 581.56 × 328.15
  4. Step 4: Simplify right side
    421.57x = 190,838.91
  5. Step 5: Solve for x
    x = 190,838.91/421.57
  6. Step 6: Final answer
    x = 452.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.